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Finding the Third Proportional to 202,732 and 431,708

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Solution

The third proportional to 202,732 and 431,708 is: 919,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,732 : 431,708 = 431,708 : x
  2. Step 2: Convert to fraction form
    202,732/431,708 = 431,708/x
  3. Step 3: Cross multiply
    202,732x = 431,708 × 431,708
  4. Step 4: Simplify right side
    202,732x = 186,371,797,264
  5. Step 5: Solve for x
    x = 186,371,797,264/202,732
  6. Step 6: Final answer
    x = 919,301.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.