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Finding the Third Proportional to 230,166 and 353,268

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Solution

The third proportional to 230,166 and 353,268 is: 542,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,166 : 353,268 = 353,268 : x
  2. Step 2: Convert to fraction form
    230,166/353,268 = 353,268/x
  3. Step 3: Cross multiply
    230,166x = 353,268 × 353,268
  4. Step 4: Simplify right side
    230,166x = 124,798,279,824
  5. Step 5: Solve for x
    x = 124,798,279,824/230,166
  6. Step 6: Final answer
    x = 542,209.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.