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Finding the Third Proportional to 103,266 and 225,972

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Solution

The third proportional to 103,266 and 225,972 is: 494,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,266 : 225,972 = 225,972 : x
  2. Step 2: Convert to fraction form
    103,266/225,972 = 225,972/x
  3. Step 3: Cross multiply
    103,266x = 225,972 × 225,972
  4. Step 4: Simplify right side
    103,266x = 51,063,344,784
  5. Step 5: Solve for x
    x = 51,063,344,784/103,266
  6. Step 6: Final answer
    x = 494,483.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.