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Finding the Third Proportional to 181,539 and 283,707

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Solution

The third proportional to 181,539 and 283,707 is: 443,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 283,707 = 283,707 : x
  2. Step 2: Convert to fraction form
    181,539/283,707 = 283,707/x
  3. Step 3: Cross multiply
    181,539x = 283,707 × 283,707
  4. Step 4: Simplify right side
    181,539x = 80,489,661,849
  5. Step 5: Solve for x
    x = 80,489,661,849/181,539
  6. Step 6: Final answer
    x = 443,373.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.