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Finding the Third Proportional to 201,831.75 and 465,203.25

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Solution

The third proportional to 201,831.75 and 465,203.25 is: 1,072,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,831.75 : 465,203.25 = 465,203.25 : x
  2. Step 2: Convert to fraction form
    201,831.75/465,203.25 = 465,203.25/x
  3. Step 3: Cross multiply
    201,831.75x = 465,203.25 × 465,203.25
  4. Step 4: Simplify right side
    201,831.75x = 216,414,063,810.56
  5. Step 5: Solve for x
    x = 216,414,063,810.56/201,831.75
  6. Step 6: Final answer
    x = 1,072,249.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.