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Finding the Third Proportional to 102,499 and 225,177

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Solution

The third proportional to 102,499 and 225,177 is: 494,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,499 : 225,177 = 225,177 : x
  2. Step 2: Convert to fraction form
    102,499/225,177 = 225,177/x
  3. Step 3: Cross multiply
    102,499x = 225,177 × 225,177
  4. Step 4: Simplify right side
    102,499x = 50,704,681,329
  5. Step 5: Solve for x
    x = 50,704,681,329/102,499
  6. Step 6: Final answer
    x = 494,684.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.