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Finding the Third Proportional to 127,265.50 and 251,318.50

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Solution

The third proportional to 127,265.50 and 251,318.50 is: 496,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,265.50 : 251,318.50 = 251,318.50 : x
  2. Step 2: Convert to fraction form
    127,265.50/251,318.50 = 251,318.50/x
  3. Step 3: Cross multiply
    127,265.50x = 251,318.50 × 251,318.50
  4. Step 4: Simplify right side
    127,265.50x = 63,160,988,442.25
  5. Step 5: Solve for x
    x = 63,160,988,442.25/127,265.50
  6. Step 6: Final answer
    x = 496,293.09

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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.