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Finding the Third Proportional to 181,930 and 280,671

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Solution

The third proportional to 181,930 and 280,671 is: 433,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,930 : 280,671 = 280,671 : x
  2. Step 2: Convert to fraction form
    181,930/280,671 = 280,671/x
  3. Step 3: Cross multiply
    181,930x = 280,671 × 280,671
  4. Step 4: Simplify right side
    181,930x = 78,776,210,241
  5. Step 5: Solve for x
    x = 78,776,210,241/181,930
  6. Step 6: Final answer
    x = 433,002.86

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Why These Related Problems?

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