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Finding the Third Proportional to 202,528 and 418,016

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Solution

The third proportional to 202,528 and 418,016 is: 862,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,528 : 418,016 = 418,016 : x
  2. Step 2: Convert to fraction form
    202,528/418,016 = 418,016/x
  3. Step 3: Cross multiply
    202,528x = 418,016 × 418,016
  4. Step 4: Simplify right side
    202,528x = 174,737,376,256
  5. Step 5: Solve for x
    x = 174,737,376,256/202,528
  6. Step 6: Final answer
    x = 862,781.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.