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Finding the Third Proportional to 226,864 and 348,228

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Solution

The third proportional to 226,864 and 348,228 is: 534,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,864 : 348,228 = 348,228 : x
  2. Step 2: Convert to fraction form
    226,864/348,228 = 348,228/x
  3. Step 3: Cross multiply
    226,864x = 348,228 × 348,228
  4. Step 4: Simplify right side
    226,864x = 121,262,739,984
  5. Step 5: Solve for x
    x = 121,262,739,984/226,864
  6. Step 6: Final answer
    x = 534,517.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.