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Finding the Third Proportional to 108,879.75 and 256,174.88

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Solution

The third proportional to 108,879.75 and 256,174.88 is: 602,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,879.75 : 256,174.88 = 256,174.88 : x
  2. Step 2: Convert to fraction form
    108,879.75/256,174.88 = 256,174.88/x
  3. Step 3: Cross multiply
    108,879.75x = 256,174.88 × 256,174.88
  4. Step 4: Simplify right side
    108,879.75x = 65,625,566,581.27
  5. Step 5: Solve for x
    x = 65,625,566,581.27/108,879.75
  6. Step 6: Final answer
    x = 602,734.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.