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Finding the Third Proportional to 187,834 and 291,082

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Solution

The third proportional to 187,834 and 291,082 is: 451,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,834 : 291,082 = 291,082 : x
  2. Step 2: Convert to fraction form
    187,834/291,082 = 291,082/x
  3. Step 3: Cross multiply
    187,834x = 291,082 × 291,082
  4. Step 4: Simplify right side
    187,834x = 84,728,730,724
  5. Step 5: Solve for x
    x = 84,728,730,724/187,834
  6. Step 6: Final answer
    x = 451,083.03

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Why These Related Problems?

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