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Finding the Third Proportional to 154,060 and 229,812

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Solution

The third proportional to 154,060 and 229,812 is: 342,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,060 : 229,812 = 229,812 : x
  2. Step 2: Convert to fraction form
    154,060/229,812 = 229,812/x
  3. Step 3: Cross multiply
    154,060x = 229,812 × 229,812
  4. Step 4: Simplify right side
    154,060x = 52,813,555,344
  5. Step 5: Solve for x
    x = 52,813,555,344/154,060
  6. Step 6: Final answer
    x = 342,811.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.