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Finding the Third Proportional to 240,692 and 360,525

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Solution

The third proportional to 240,692 and 360,525 is: 540,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,692 : 360,525 = 360,525 : x
  2. Step 2: Convert to fraction form
    240,692/360,525 = 360,525/x
  3. Step 3: Cross multiply
    240,692x = 360,525 × 360,525
  4. Step 4: Simplify right side
    240,692x = 129,978,275,625
  5. Step 5: Solve for x
    x = 129,978,275,625/240,692
  6. Step 6: Final answer
    x = 540,019.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.