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Finding the Third Proportional to 87,374 and 187,492

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Solution

The third proportional to 87,374 and 187,492 is: 402,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,374 : 187,492 = 187,492 : x
  2. Step 2: Convert to fraction form
    87,374/187,492 = 187,492/x
  3. Step 3: Cross multiply
    87,374x = 187,492 × 187,492
  4. Step 4: Simplify right side
    87,374x = 35,153,250,064
  5. Step 5: Solve for x
    x = 35,153,250,064/87,374
  6. Step 6: Final answer
    x = 402,330.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.