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Finding the Third Proportional to 200,552 and 300,872

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Solution

The third proportional to 200,552 and 300,872 is: 451,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,552 : 300,872 = 300,872 : x
  2. Step 2: Convert to fraction form
    200,552/300,872 = 300,872/x
  3. Step 3: Cross multiply
    200,552x = 300,872 × 300,872
  4. Step 4: Simplify right side
    200,552x = 90,523,960,384
  5. Step 5: Solve for x
    x = 90,523,960,384/200,552
  6. Step 6: Final answer
    x = 451,374.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.