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Finding the Third Proportional to 185,204 and 276,708

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Solution

The third proportional to 185,204 and 276,708 is: 413,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,204 : 276,708 = 276,708 : x
  2. Step 2: Convert to fraction form
    185,204/276,708 = 276,708/x
  3. Step 3: Cross multiply
    185,204x = 276,708 × 276,708
  4. Step 4: Simplify right side
    185,204x = 76,567,317,264
  5. Step 5: Solve for x
    x = 76,567,317,264/185,204
  6. Step 6: Final answer
    x = 413,421.51

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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.