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Finding the Third Proportional to 148,860 and 321,042

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Solution

The third proportional to 148,860 and 321,042 is: 692,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,860 : 321,042 = 321,042 : x
  2. Step 2: Convert to fraction form
    148,860/321,042 = 321,042/x
  3. Step 3: Cross multiply
    148,860x = 321,042 × 321,042
  4. Step 4: Simplify right side
    148,860x = 103,067,965,764
  5. Step 5: Solve for x
    x = 103,067,965,764/148,860
  6. Step 6: Final answer
    x = 692,381.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.