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Finding the Third Proportional to 154,880 and 227,782

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Solution

The third proportional to 154,880 and 227,782 is: 334,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,880 : 227,782 = 227,782 : x
  2. Step 2: Convert to fraction form
    154,880/227,782 = 227,782/x
  3. Step 3: Cross multiply
    154,880x = 227,782 × 227,782
  4. Step 4: Simplify right side
    154,880x = 51,884,639,524
  5. Step 5: Solve for x
    x = 51,884,639,524/154,880
  6. Step 6: Final answer
    x = 334,998.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.