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Finding the Third Proportional to 187,074 and 279,795

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Solution

The third proportional to 187,074 and 279,795 is: 418,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,074 : 279,795 = 279,795 : x
  2. Step 2: Convert to fraction form
    187,074/279,795 = 279,795/x
  3. Step 3: Cross multiply
    187,074x = 279,795 × 279,795
  4. Step 4: Simplify right side
    187,074x = 78,285,242,025
  5. Step 5: Solve for x
    x = 78,285,242,025/187,074
  6. Step 6: Final answer
    x = 418,472.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.