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Finding the Third Proportional to 240,675.75 and 374,175

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Solution

The third proportional to 240,675.75 and 374,175 is: 581,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,675.75 : 374,175 = 374,175 : x
  2. Step 2: Convert to fraction form
    240,675.75/374,175 = 374,175/x
  3. Step 3: Cross multiply
    240,675.75x = 374,175 × 374,175
  4. Step 4: Simplify right side
    240,675.75x = 140,006,930,625
  5. Step 5: Solve for x
    x = 140,006,930,625/240,675.75
  6. Step 6: Final answer
    x = 581,724.29

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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.