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Finding the Third Proportional to 187,808 and 281,655

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Solution

The third proportional to 187,808 and 281,655 is: 422,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,808 : 281,655 = 281,655 : x
  2. Step 2: Convert to fraction form
    187,808/281,655 = 281,655/x
  3. Step 3: Cross multiply
    187,808x = 281,655 × 281,655
  4. Step 4: Simplify right side
    187,808x = 79,329,539,025
  5. Step 5: Solve for x
    x = 79,329,539,025/187,808
  6. Step 6: Final answer
    x = 422,397.02

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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.