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Finding the Third Proportional to 106,631 and 226,381

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Solution

The third proportional to 106,631 and 226,381 is: 480,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,631 : 226,381 = 226,381 : x
  2. Step 2: Convert to fraction form
    106,631/226,381 = 226,381/x
  3. Step 3: Cross multiply
    106,631x = 226,381 × 226,381
  4. Step 4: Simplify right side
    106,631x = 51,248,357,161
  5. Step 5: Solve for x
    x = 51,248,357,161/106,631
  6. Step 6: Final answer
    x = 480,614.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.