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Finding the Third Proportional to 110,400 and 240,008

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Solution

The third proportional to 110,400 and 240,008 is: 521,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,400 : 240,008 = 240,008 : x
  2. Step 2: Convert to fraction form
    110,400/240,008 = 240,008/x
  3. Step 3: Cross multiply
    110,400x = 240,008 × 240,008
  4. Step 4: Simplify right side
    110,400x = 57,603,840,064
  5. Step 5: Solve for x
    x = 57,603,840,064/110,400
  6. Step 6: Final answer
    x = 521,773.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.