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Finding the Third Proportional to 121,232.25 and 263,200.50

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Solution

The third proportional to 121,232.25 and 263,200.50 is: 571,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,232.25 : 263,200.50 = 263,200.50 : x
  2. Step 2: Convert to fraction form
    121,232.25/263,200.50 = 263,200.50/x
  3. Step 3: Cross multiply
    121,232.25x = 263,200.50 × 263,200.50
  4. Step 4: Simplify right side
    121,232.25x = 69,274,503,200.25
  5. Step 5: Solve for x
    x = 69,274,503,200.25/121,232.25
  6. Step 6: Final answer
    x = 571,419.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.