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Finding the Third Proportional to 123,883.88 and 270,520.88

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Solution

The third proportional to 123,883.88 and 270,520.88 is: 590,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,883.88 : 270,520.88 = 270,520.88 : x
  2. Step 2: Convert to fraction form
    123,883.88/270,520.88 = 270,520.88/x
  3. Step 3: Cross multiply
    123,883.88x = 270,520.88 × 270,520.88
  4. Step 4: Simplify right side
    123,883.88x = 73,181,543,810.77
  5. Step 5: Solve for x
    x = 73,181,543,810.77/123,883.88
  6. Step 6: Final answer
    x = 590,726.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.