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Finding the Third Proportional to 181,604 and 280,062

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Solution

The third proportional to 181,604 and 280,062 is: 431,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,604 : 280,062 = 280,062 : x
  2. Step 2: Convert to fraction form
    181,604/280,062 = 280,062/x
  3. Step 3: Cross multiply
    181,604x = 280,062 × 280,062
  4. Step 4: Simplify right side
    181,604x = 78,434,723,844
  5. Step 5: Solve for x
    x = 78,434,723,844/181,604
  6. Step 6: Final answer
    x = 431,899.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.