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Finding the Third Proportional to 200,126.75 and 309,542

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Solution

The third proportional to 200,126.75 and 309,542 is: 478,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,126.75 : 309,542 = 309,542 : x
  2. Step 2: Convert to fraction form
    200,126.75/309,542 = 309,542/x
  3. Step 3: Cross multiply
    200,126.75x = 309,542 × 309,542
  4. Step 4: Simplify right side
    200,126.75x = 95,816,249,764
  5. Step 5: Solve for x
    x = 95,816,249,764/200,126.75
  6. Step 6: Final answer
    x = 478,777.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.