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Finding the Third Proportional to 241,856 and 363,712

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Solution

The third proportional to 241,856 and 363,712 is: 546,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,856 : 363,712 = 363,712 : x
  2. Step 2: Convert to fraction form
    241,856/363,712 = 363,712/x
  3. Step 3: Cross multiply
    241,856x = 363,712 × 363,712
  4. Step 4: Simplify right side
    241,856x = 132,286,418,944
  5. Step 5: Solve for x
    x = 132,286,418,944/241,856
  6. Step 6: Final answer
    x = 546,963.56

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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.