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Finding the Third Proportional to 106,601 and 229,336

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Solution

The third proportional to 106,601 and 229,336 is: 493,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,601 : 229,336 = 229,336 : x
  2. Step 2: Convert to fraction form
    106,601/229,336 = 229,336/x
  3. Step 3: Cross multiply
    106,601x = 229,336 × 229,336
  4. Step 4: Simplify right side
    106,601x = 52,595,000,896
  5. Step 5: Solve for x
    x = 52,595,000,896/106,601
  6. Step 6: Final answer
    x = 493,381.87

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