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Finding the Third Proportional to 103,192 and 225,176

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Solution

The third proportional to 103,192 and 225,176 is: 491,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,192 : 225,176 = 225,176 : x
  2. Step 2: Convert to fraction form
    103,192/225,176 = 225,176/x
  3. Step 3: Cross multiply
    103,192x = 225,176 × 225,176
  4. Step 4: Simplify right side
    103,192x = 50,704,230,976
  5. Step 5: Solve for x
    x = 50,704,230,976/103,192
  6. Step 6: Final answer
    x = 491,358.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.