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Finding the Third Proportional to 104,301 and 227,829

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Solution

The third proportional to 104,301 and 227,829 is: 497,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,301 : 227,829 = 227,829 : x
  2. Step 2: Convert to fraction form
    104,301/227,829 = 227,829/x
  3. Step 3: Cross multiply
    104,301x = 227,829 × 227,829
  4. Step 4: Simplify right side
    104,301x = 51,906,053,241
  5. Step 5: Solve for x
    x = 51,906,053,241/104,301
  6. Step 6: Final answer
    x = 497,656.33

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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.