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Finding the Third Proportional to 187,642 and 280,527

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Solution

The third proportional to 187,642 and 280,527 is: 419,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,642 : 280,527 = 280,527 : x
  2. Step 2: Convert to fraction form
    187,642/280,527 = 280,527/x
  3. Step 3: Cross multiply
    187,642x = 280,527 × 280,527
  4. Step 4: Simplify right side
    187,642x = 78,695,397,729
  5. Step 5: Solve for x
    x = 78,695,397,729/187,642
  6. Step 6: Final answer
    x = 419,391.17

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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.