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Finding the Third Proportional to 131,552 and 284,155

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Solution

The third proportional to 131,552 and 284,155 is: 613,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,552 : 284,155 = 284,155 : x
  2. Step 2: Convert to fraction form
    131,552/284,155 = 284,155/x
  3. Step 3: Cross multiply
    131,552x = 284,155 × 284,155
  4. Step 4: Simplify right side
    131,552x = 80,744,064,025
  5. Step 5: Solve for x
    x = 80,744,064,025/131,552
  6. Step 6: Final answer
    x = 613,780.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.