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Finding the Third Proportional to 127,596.52 and 278,540.02

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Solution

The third proportional to 127,596.52 and 278,540.02 is: 608,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596.52 : 278,540.02 = 278,540.02 : x
  2. Step 2: Convert to fraction form
    127,596.52/278,540.02 = 278,540.02/x
  3. Step 3: Cross multiply
    127,596.52x = 278,540.02 × 278,540.02
  4. Step 4: Simplify right side
    127,596.52x = 77,584,540,304.38
  5. Step 5: Solve for x
    x = 77,584,540,304.38/127,596.52
  6. Step 6: Final answer
    x = 608,045.92

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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.