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Finding the Third Proportional to 225,894.50 and 491,137

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Solution

The third proportional to 225,894.50 and 491,137 is: 1,067,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,894.50 : 491,137 = 491,137 : x
  2. Step 2: Convert to fraction form
    225,894.50/491,137 = 491,137/x
  3. Step 3: Cross multiply
    225,894.50x = 491,137 × 491,137
  4. Step 4: Simplify right side
    225,894.50x = 241,215,552,769
  5. Step 5: Solve for x
    x = 241,215,552,769/225,894.50
  6. Step 6: Final answer
    x = 1,067,823.93

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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.