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Finding the Third Proportional to 137,998 and 202,452

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Solution

The third proportional to 137,998 and 202,452 is: 297,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,998 : 202,452 = 202,452 : x
  2. Step 2: Convert to fraction form
    137,998/202,452 = 202,452/x
  3. Step 3: Cross multiply
    137,998x = 202,452 × 202,452
  4. Step 4: Simplify right side
    137,998x = 40,986,812,304
  5. Step 5: Solve for x
    x = 40,986,812,304/137,998
  6. Step 6: Final answer
    x = 297,010.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.