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Finding the Third Proportional to 148,000 and 231,920

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Solution

The third proportional to 148,000 and 231,920 is: 363,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,000 : 231,920 = 231,920 : x
  2. Step 2: Convert to fraction form
    148,000/231,920 = 231,920/x
  3. Step 3: Cross multiply
    148,000x = 231,920 × 231,920
  4. Step 4: Simplify right side
    148,000x = 53,786,886,400
  5. Step 5: Solve for x
    x = 53,786,886,400/148,000
  6. Step 6: Final answer
    x = 363,424.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.