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Finding the Third Proportional to 240,414.75 and 373,747.50

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Solution

The third proportional to 240,414.75 and 373,747.50 is: 581,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,414.75 : 373,747.50 = 373,747.50 : x
  2. Step 2: Convert to fraction form
    240,414.75/373,747.50 = 373,747.50/x
  3. Step 3: Cross multiply
    240,414.75x = 373,747.50 × 373,747.50
  4. Step 4: Simplify right side
    240,414.75x = 139,687,193,756.25
  5. Step 5: Solve for x
    x = 139,687,193,756.25/240,414.75
  6. Step 6: Final answer
    x = 581,025.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.