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Finding the Third Proportional to 127,267.31 and 251,322.47

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Solution

The third proportional to 127,267.31 and 251,322.47 is: 496,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,267.31 : 251,322.47 = 251,322.47 : x
  2. Step 2: Convert to fraction form
    127,267.31/251,322.47 = 251,322.47/x
  3. Step 3: Cross multiply
    127,267.31x = 251,322.47 × 251,322.47
  4. Step 4: Simplify right side
    127,267.31x = 63,162,983,298.59
  5. Step 5: Solve for x
    x = 63,162,983,298.59/127,267.31
  6. Step 6: Final answer
    x = 496,301.70

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.