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Finding the Third Proportional to 148,698 and 230,327

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Solution

The third proportional to 148,698 and 230,327 is: 356,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,698 : 230,327 = 230,327 : x
  2. Step 2: Convert to fraction form
    148,698/230,327 = 230,327/x
  3. Step 3: Cross multiply
    148,698x = 230,327 × 230,327
  4. Step 4: Simplify right side
    148,698x = 53,050,526,929
  5. Step 5: Solve for x
    x = 53,050,526,929/148,698
  6. Step 6: Final answer
    x = 356,766.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.