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Finding the Third Proportional to 125,301.38 and 270,164.25

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Solution

The third proportional to 125,301.38 and 270,164.25 is: 582,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,301.38 : 270,164.25 = 270,164.25 : x
  2. Step 2: Convert to fraction form
    125,301.38/270,164.25 = 270,164.25/x
  3. Step 3: Cross multiply
    125,301.38x = 270,164.25 × 270,164.25
  4. Step 4: Simplify right side
    125,301.38x = 72,988,721,978.06
  5. Step 5: Solve for x
    x = 72,988,721,978.06/125,301.38
  6. Step 6: Final answer
    x = 582,505.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.