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Finding the Third Proportional to 202,432 and 432,892

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Solution

The third proportional to 202,432 and 432,892 is: 925,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,432 : 432,892 = 432,892 : x
  2. Step 2: Convert to fraction form
    202,432/432,892 = 432,892/x
  3. Step 3: Cross multiply
    202,432x = 432,892 × 432,892
  4. Step 4: Simplify right side
    202,432x = 187,395,483,664
  5. Step 5: Solve for x
    x = 187,395,483,664/202,432
  6. Step 6: Final answer
    x = 925,720.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.