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Finding the Third Proportional to 127,267 and 251,320

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Solution

The third proportional to 127,267 and 251,320 is: 496,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,267 : 251,320 = 251,320 : x
  2. Step 2: Convert to fraction form
    127,267/251,320 = 251,320/x
  3. Step 3: Cross multiply
    127,267x = 251,320 × 251,320
  4. Step 4: Simplify right side
    127,267x = 63,161,742,400
  5. Step 5: Solve for x
    x = 63,161,742,400/127,267
  6. Step 6: Final answer
    x = 496,293.17

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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.