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Finding the Third Proportional to 241,860 and 363,718

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Solution

The third proportional to 241,860 and 363,718 is: 546,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,860 : 363,718 = 363,718 : x
  2. Step 2: Convert to fraction form
    241,860/363,718 = 363,718/x
  3. Step 3: Cross multiply
    241,860x = 363,718 × 363,718
  4. Step 4: Simplify right side
    241,860x = 132,290,783,524
  5. Step 5: Solve for x
    x = 132,290,783,524/241,860
  6. Step 6: Final answer
    x = 546,972.56

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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.