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Finding the Third Proportional to 240,720.75 and 372,745.13

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Solution

The third proportional to 240,720.75 and 372,745.13 is: 577,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,720.75 : 372,745.13 = 372,745.13 : x
  2. Step 2: Convert to fraction form
    240,720.75/372,745.13 = 372,745.13/x
  3. Step 3: Cross multiply
    240,720.75x = 372,745.13 × 372,745.13
  4. Step 4: Simplify right side
    240,720.75x = 138,938,928,211.27
  5. Step 5: Solve for x
    x = 138,938,928,211.27/240,720.75
  6. Step 6: Final answer
    x = 577,178.86

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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.