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Finding the Third Proportional to 106,593 and 229,314

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Solution

The third proportional to 106,593 and 229,314 is: 493,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,593 : 229,314 = 229,314 : x
  2. Step 2: Convert to fraction form
    106,593/229,314 = 229,314/x
  3. Step 3: Cross multiply
    106,593x = 229,314 × 229,314
  4. Step 4: Simplify right side
    106,593x = 52,584,910,596
  5. Step 5: Solve for x
    x = 52,584,910,596/106,593
  6. Step 6: Final answer
    x = 493,324.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.