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Finding the Third Proportional to 187,520 and 250,494

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Solution

The third proportional to 187,520 and 250,494 is: 334,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,520 : 250,494 = 250,494 : x
  2. Step 2: Convert to fraction form
    187,520/250,494 = 250,494/x
  3. Step 3: Cross multiply
    187,520x = 250,494 × 250,494
  4. Step 4: Simplify right side
    187,520x = 62,747,244,036
  5. Step 5: Solve for x
    x = 62,747,244,036/187,520
  6. Step 6: Final answer
    x = 334,616.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.