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Finding the Third Proportional to 241,177.50 and 354,793.50

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Solution

The third proportional to 241,177.50 and 354,793.50 is: 521,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,177.50 : 354,793.50 = 354,793.50 : x
  2. Step 2: Convert to fraction form
    241,177.50/354,793.50 = 354,793.50/x
  3. Step 3: Cross multiply
    241,177.50x = 354,793.50 × 354,793.50
  4. Step 4: Simplify right side
    241,177.50x = 125,878,427,642.25
  5. Step 5: Solve for x
    x = 125,878,427,642.25/241,177.50
  6. Step 6: Final answer
    x = 521,932.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.