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Finding the Third Proportional to 181,359 and 276,051

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Solution

The third proportional to 181,359 and 276,051 is: 420,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,359 : 276,051 = 276,051 : x
  2. Step 2: Convert to fraction form
    181,359/276,051 = 276,051/x
  3. Step 3: Cross multiply
    181,359x = 276,051 × 276,051
  4. Step 4: Simplify right side
    181,359x = 76,204,154,601
  5. Step 5: Solve for x
    x = 76,204,154,601/181,359
  6. Step 6: Final answer
    x = 420,184.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.