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Finding the Third Proportional to 187,332 and 357,384

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Solution

The third proportional to 187,332 and 357,384 is: 681,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,332 : 357,384 = 357,384 : x
  2. Step 2: Convert to fraction form
    187,332/357,384 = 357,384/x
  3. Step 3: Cross multiply
    187,332x = 357,384 × 357,384
  4. Step 4: Simplify right side
    187,332x = 127,723,323,456
  5. Step 5: Solve for x
    x = 127,723,323,456/187,332
  6. Step 6: Final answer
    x = 681,801.95

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.