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Finding the Third Proportional to 240,104.25 and 347,761.69

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Solution

The third proportional to 240,104.25 and 347,761.69 is: 503,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,104.25 : 347,761.69 = 347,761.69 : x
  2. Step 2: Convert to fraction form
    240,104.25/347,761.69 = 347,761.69/x
  3. Step 3: Cross multiply
    240,104.25x = 347,761.69 × 347,761.69
  4. Step 4: Simplify right side
    240,104.25x = 120,938,191,292.85
  5. Step 5: Solve for x
    x = 120,938,191,292.85/240,104.25
  6. Step 6: Final answer
    x = 503,690.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.