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Finding the Third Proportional to 187,959 and 287,892

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Solution

The third proportional to 187,959 and 287,892 is: 440,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,959 : 287,892 = 287,892 : x
  2. Step 2: Convert to fraction form
    187,959/287,892 = 287,892/x
  3. Step 3: Cross multiply
    187,959x = 287,892 × 287,892
  4. Step 4: Simplify right side
    187,959x = 82,881,803,664
  5. Step 5: Solve for x
    x = 82,881,803,664/187,959
  6. Step 6: Final answer
    x = 440,956.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.