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Finding the Third Proportional to 154,839 and 239,306

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Solution

The third proportional to 154,839 and 239,306 is: 369,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,839 : 239,306 = 239,306 : x
  2. Step 2: Convert to fraction form
    154,839/239,306 = 239,306/x
  3. Step 3: Cross multiply
    154,839x = 239,306 × 239,306
  4. Step 4: Simplify right side
    154,839x = 57,267,361,636
  5. Step 5: Solve for x
    x = 57,267,361,636/154,839
  6. Step 6: Final answer
    x = 369,851.02

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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.