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Finding the Third Proportional to 103,853 and 225,931

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Solution

The third proportional to 103,853 and 225,931 is: 491,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853 : 225,931 = 225,931 : x
  2. Step 2: Convert to fraction form
    103,853/225,931 = 225,931/x
  3. Step 3: Cross multiply
    103,853x = 225,931 × 225,931
  4. Step 4: Simplify right side
    103,853x = 51,044,816,761
  5. Step 5: Solve for x
    x = 51,044,816,761/103,853
  6. Step 6: Final answer
    x = 491,510.28

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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.