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Finding the Third Proportional to 106,230 and 226,674

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Solution

The third proportional to 106,230 and 226,674 is: 483,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,230 : 226,674 = 226,674 : x
  2. Step 2: Convert to fraction form
    106,230/226,674 = 226,674/x
  3. Step 3: Cross multiply
    106,230x = 226,674 × 226,674
  4. Step 4: Simplify right side
    106,230x = 51,381,102,276
  5. Step 5: Solve for x
    x = 51,381,102,276/106,230
  6. Step 6: Final answer
    x = 483,677.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.