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Finding the Third Proportional to 159,396 and 346,831.50

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Solution

The third proportional to 159,396 and 346,831.50 is: 754,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,396 : 346,831.50 = 346,831.50 : x
  2. Step 2: Convert to fraction form
    159,396/346,831.50 = 346,831.50/x
  3. Step 3: Cross multiply
    159,396x = 346,831.50 × 346,831.50
  4. Step 4: Simplify right side
    159,396x = 120,292,089,392.25
  5. Step 5: Solve for x
    x = 120,292,089,392.25/159,396
  6. Step 6: Final answer
    x = 754,674.45

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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.