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Finding the Third Proportional to 121,327.24 and 252,342.21

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Solution

The third proportional to 121,327.24 and 252,342.21 is: 524,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,327.24 : 252,342.21 = 252,342.21 : x
  2. Step 2: Convert to fraction form
    121,327.24/252,342.21 = 252,342.21/x
  3. Step 3: Cross multiply
    121,327.24x = 252,342.21 × 252,342.21
  4. Step 4: Simplify right side
    121,327.24x = 63,676,591,420.83
  5. Step 5: Solve for x
    x = 63,676,591,420.83/121,327.24
  6. Step 6: Final answer
    x = 524,833.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.