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Finding the Third Proportional to 240,684 and 374,188

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Solution

The third proportional to 240,684 and 374,188 is: 581,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,684 : 374,188 = 374,188 : x
  2. Step 2: Convert to fraction form
    240,684/374,188 = 374,188/x
  3. Step 3: Cross multiply
    240,684x = 374,188 × 374,188
  4. Step 4: Simplify right side
    240,684x = 140,016,659,344
  5. Step 5: Solve for x
    x = 140,016,659,344/240,684
  6. Step 6: Final answer
    x = 581,744.77

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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.