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Finding the Third Proportional to 200,061 and 309,675

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Solution

The third proportional to 200,061 and 309,675 is: 479,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,061 : 309,675 = 309,675 : x
  2. Step 2: Convert to fraction form
    200,061/309,675 = 309,675/x
  3. Step 3: Cross multiply
    200,061x = 309,675 × 309,675
  4. Step 4: Simplify right side
    200,061x = 95,898,605,625
  5. Step 5: Solve for x
    x = 95,898,605,625/200,061
  6. Step 6: Final answer
    x = 479,346.83

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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.