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Finding the Third Proportional to 240,669.75 and 374,166.75

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Solution

The third proportional to 240,669.75 and 374,166.75 is: 581,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,669.75 : 374,166.75 = 374,166.75 : x
  2. Step 2: Convert to fraction form
    240,669.75/374,166.75 = 374,166.75/x
  3. Step 3: Cross multiply
    240,669.75x = 374,166.75 × 374,166.75
  4. Step 4: Simplify right side
    240,669.75x = 140,000,756,805.56
  5. Step 5: Solve for x
    x = 140,000,756,805.56/240,669.75
  6. Step 6: Final answer
    x = 581,713.14

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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.