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Finding the Third Proportional to 150,421.50 and 327,831.75

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Solution

The third proportional to 150,421.50 and 327,831.75 is: 714,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,421.50 : 327,831.75 = 327,831.75 : x
  2. Step 2: Convert to fraction form
    150,421.50/327,831.75 = 327,831.75/x
  3. Step 3: Cross multiply
    150,421.50x = 327,831.75 × 327,831.75
  4. Step 4: Simplify right side
    150,421.50x = 107,473,656,308.06
  5. Step 5: Solve for x
    x = 107,473,656,308.06/150,421.50
  6. Step 6: Final answer
    x = 714,483.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.