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Finding the Third Proportional to 182,004 and 280,782

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Solution

The third proportional to 182,004 and 280,782 is: 433,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,004 : 280,782 = 280,782 : x
  2. Step 2: Convert to fraction form
    182,004/280,782 = 280,782/x
  3. Step 3: Cross multiply
    182,004x = 280,782 × 280,782
  4. Step 4: Simplify right side
    182,004x = 78,838,531,524
  5. Step 5: Solve for x
    x = 78,838,531,524/182,004
  6. Step 6: Final answer
    x = 433,169.22

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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.