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Finding the Third Proportional to 187,086.38 and 282,588.75

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Solution

The third proportional to 187,086.38 and 282,588.75 is: 426,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,086.38 : 282,588.75 = 282,588.75 : x
  2. Step 2: Convert to fraction form
    187,086.38/282,588.75 = 282,588.75/x
  3. Step 3: Cross multiply
    187,086.38x = 282,588.75 × 282,588.75
  4. Step 4: Simplify right side
    187,086.38x = 79,856,401,626.56
  5. Step 5: Solve for x
    x = 79,856,401,626.56/187,086.38
  6. Step 6: Final answer
    x = 426,842.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.