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Finding the Third Proportional to 182,451 and 400,866

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Solution

The third proportional to 182,451 and 400,866 is: 880,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,451 : 400,866 = 400,866 : x
  2. Step 2: Convert to fraction form
    182,451/400,866 = 400,866/x
  3. Step 3: Cross multiply
    182,451x = 400,866 × 400,866
  4. Step 4: Simplify right side
    182,451x = 160,693,549,956
  5. Step 5: Solve for x
    x = 160,693,549,956/182,451
  6. Step 6: Final answer
    x = 880,749.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.