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Finding the Third Proportional to 107,146 and 226,220

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Solution

The third proportional to 107,146 and 226,220 is: 477,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146 : 226,220 = 226,220 : x
  2. Step 2: Convert to fraction form
    107,146/226,220 = 226,220/x
  3. Step 3: Cross multiply
    107,146x = 226,220 × 226,220
  4. Step 4: Simplify right side
    107,146x = 51,175,488,400
  5. Step 5: Solve for x
    x = 51,175,488,400/107,146
  6. Step 6: Final answer
    x = 477,623.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.