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Finding the Third Proportional to 127,261.97 and 251,310.94

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Solution

The third proportional to 127,261.97 and 251,310.94 is: 496,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,261.97 : 251,310.94 = 251,310.94 : x
  2. Step 2: Convert to fraction form
    127,261.97/251,310.94 = 251,310.94/x
  3. Step 3: Cross multiply
    127,261.97x = 251,310.94 × 251,310.94
  4. Step 4: Simplify right side
    127,261.97x = 63,157,187,307.13
  5. Step 5: Solve for x
    x = 63,157,187,307.13/127,261.97
  6. Step 6: Final answer
    x = 496,276.99

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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.