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Finding the Third Proportional to 127,596 and 278,538.75

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Solution

The third proportional to 127,596 and 278,538.75 is: 608,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596 : 278,538.75 = 278,538.75 : x
  2. Step 2: Convert to fraction form
    127,596/278,538.75 = 278,538.75/x
  3. Step 3: Cross multiply
    127,596x = 278,538.75 × 278,538.75
  4. Step 4: Simplify right side
    127,596x = 77,583,835,251.56
  5. Step 5: Solve for x
    x = 77,583,835,251.56/127,596
  6. Step 6: Final answer
    x = 608,042.85

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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.