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Finding the Third Proportional to 241,920 and 363,120

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Solution

The third proportional to 241,920 and 363,120 is: 545,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,920 : 363,120 = 363,120 : x
  2. Step 2: Convert to fraction form
    241,920/363,120 = 363,120/x
  3. Step 3: Cross multiply
    241,920x = 363,120 × 363,120
  4. Step 4: Simplify right side
    241,920x = 131,856,134,400
  5. Step 5: Solve for x
    x = 131,856,134,400/241,920
  6. Step 6: Final answer
    x = 545,040.24

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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.