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Finding the Third Proportional to 154,992 and 239,496

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Solution

The third proportional to 154,992 and 239,496 is: 370,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,992 : 239,496 = 239,496 : x
  2. Step 2: Convert to fraction form
    154,992/239,496 = 239,496/x
  3. Step 3: Cross multiply
    154,992x = 239,496 × 239,496
  4. Step 4: Simplify right side
    154,992x = 57,358,334,016
  5. Step 5: Solve for x
    x = 57,358,334,016/154,992
  6. Step 6: Final answer
    x = 370,072.87

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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.