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Finding the Third Proportional to 115,332.75 and 247,909.50

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Solution

The third proportional to 115,332.75 and 247,909.50 is: 532,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,332.75 : 247,909.50 = 247,909.50 : x
  2. Step 2: Convert to fraction form
    115,332.75/247,909.50 = 247,909.50/x
  3. Step 3: Cross multiply
    115,332.75x = 247,909.50 × 247,909.50
  4. Step 4: Simplify right side
    115,332.75x = 61,459,120,190.25
  5. Step 5: Solve for x
    x = 61,459,120,190.25/115,332.75
  6. Step 6: Final answer
    x = 532,885.24

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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.