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Finding the Third Proportional to 148,142 and 325,930

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Solution

The third proportional to 148,142 and 325,930 is: 717,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,142 : 325,930 = 325,930 : x
  2. Step 2: Convert to fraction form
    148,142/325,930 = 325,930/x
  3. Step 3: Cross multiply
    148,142x = 325,930 × 325,930
  4. Step 4: Simplify right side
    148,142x = 106,230,364,900
  5. Step 5: Solve for x
    x = 106,230,364,900/148,142
  6. Step 6: Final answer
    x = 717,084.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.