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Finding the Third Proportional to 185,164 and 276,530

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Solution

The third proportional to 185,164 and 276,530 is: 412,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,164 : 276,530 = 276,530 : x
  2. Step 2: Convert to fraction form
    185,164/276,530 = 276,530/x
  3. Step 3: Cross multiply
    185,164x = 276,530 × 276,530
  4. Step 4: Simplify right side
    185,164x = 76,468,840,900
  5. Step 5: Solve for x
    x = 76,468,840,900/185,164
  6. Step 6: Final answer
    x = 412,978.99

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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.