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Finding the Third Proportional to 181,539 and 280,827

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Solution

The third proportional to 181,539 and 280,827 is: 434,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 280,827 = 280,827 : x
  2. Step 2: Convert to fraction form
    181,539/280,827 = 280,827/x
  3. Step 3: Cross multiply
    181,539x = 280,827 × 280,827
  4. Step 4: Simplify right side
    181,539x = 78,863,803,929
  5. Step 5: Solve for x
    x = 78,863,803,929/181,539
  6. Step 6: Final answer
    x = 434,417.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.