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Finding the Third Proportional to 182,777 and 400,863

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Solution

The third proportional to 182,777 and 400,863 is: 879,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,777 : 400,863 = 400,863 : x
  2. Step 2: Convert to fraction form
    182,777/400,863 = 400,863/x
  3. Step 3: Cross multiply
    182,777x = 400,863 × 400,863
  4. Step 4: Simplify right side
    182,777x = 160,691,144,769
  5. Step 5: Solve for x
    x = 160,691,144,769/182,777
  6. Step 6: Final answer
    x = 879,165.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.