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Finding the Third Proportional to 154,954.50 and 239,266

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Solution

The third proportional to 154,954.50 and 239,266 is: 369,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,954.50 : 239,266 = 239,266 : x
  2. Step 2: Convert to fraction form
    154,954.50/239,266 = 239,266/x
  3. Step 3: Cross multiply
    154,954.50x = 239,266 × 239,266
  4. Step 4: Simplify right side
    154,954.50x = 57,248,218,756
  5. Step 5: Solve for x
    x = 57,248,218,756/154,954.50
  6. Step 6: Final answer
    x = 369,451.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.