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Finding the Third Proportional to 240,657.75 and 374,149.13

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Solution

The third proportional to 240,657.75 and 374,149.13 is: 581,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,657.75 : 374,149.13 = 374,149.13 : x
  2. Step 2: Convert to fraction form
    240,657.75/374,149.13 = 374,149.13/x
  3. Step 3: Cross multiply
    240,657.75x = 374,149.13 × 374,149.13
  4. Step 4: Simplify right side
    240,657.75x = 139,987,567,738.27
  5. Step 5: Solve for x
    x = 139,987,567,738.27/240,657.75
  6. Step 6: Final answer
    x = 581,687.35

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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.