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Finding the Third Proportional to 127,532.25 and 279,964.13

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Solution

The third proportional to 127,532.25 and 279,964.13 is: 614,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,532.25 : 279,964.13 = 279,964.13 : x
  2. Step 2: Convert to fraction form
    127,532.25/279,964.13 = 279,964.13/x
  3. Step 3: Cross multiply
    127,532.25x = 279,964.13 × 279,964.13
  4. Step 4: Simplify right side
    127,532.25x = 78,379,911,287.02
  5. Step 5: Solve for x
    x = 78,379,911,287.02/127,532.25
  6. Step 6: Final answer
    x = 614,588.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.