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Finding the Third Proportional to 116,913.38 and 251,854.31

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Solution

The third proportional to 116,913.38 and 251,854.31 is: 542,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,913.38 : 251,854.31 = 251,854.31 : x
  2. Step 2: Convert to fraction form
    116,913.38/251,854.31 = 251,854.31/x
  3. Step 3: Cross multiply
    116,913.38x = 251,854.31 × 251,854.31
  4. Step 4: Simplify right side
    116,913.38x = 63,430,594,724.85
  5. Step 5: Solve for x
    x = 63,430,594,724.85/116,913.38
  6. Step 6: Final answer
    x = 542,543.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.