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Finding the Third Proportional to 154,396 and 231,960

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Solution

The third proportional to 154,396 and 231,960 is: 348,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,396 : 231,960 = 231,960 : x
  2. Step 2: Convert to fraction form
    154,396/231,960 = 231,960/x
  3. Step 3: Cross multiply
    154,396x = 231,960 × 231,960
  4. Step 4: Simplify right side
    154,396x = 53,805,441,600
  5. Step 5: Solve for x
    x = 53,805,441,600/154,396
  6. Step 6: Final answer
    x = 348,489.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.