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Finding the Third Proportional to 187,662 and 276,531

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Solution

The third proportional to 187,662 and 276,531 is: 407,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,662 : 276,531 = 276,531 : x
  2. Step 2: Convert to fraction form
    187,662/276,531 = 276,531/x
  3. Step 3: Cross multiply
    187,662x = 276,531 × 276,531
  4. Step 4: Simplify right side
    187,662x = 76,469,393,961
  5. Step 5: Solve for x
    x = 76,469,393,961/187,662
  6. Step 6: Final answer
    x = 407,484.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.