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Finding the Third Proportional to 176,950 and 268,233

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Solution

The third proportional to 176,950 and 268,233 is: 406,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,950 : 268,233 = 268,233 : x
  2. Step 2: Convert to fraction form
    176,950/268,233 = 268,233/x
  3. Step 3: Cross multiply
    176,950x = 268,233 × 268,233
  4. Step 4: Simplify right side
    176,950x = 71,948,942,289
  5. Step 5: Solve for x
    x = 71,948,942,289/176,950
  6. Step 6: Final answer
    x = 406,606.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.