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Finding the Third Proportional to 182,846 and 399,868

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Solution

The third proportional to 182,846 and 399,868 is: 874,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,846 : 399,868 = 399,868 : x
  2. Step 2: Convert to fraction form
    182,846/399,868 = 399,868/x
  3. Step 3: Cross multiply
    182,846x = 399,868 × 399,868
  4. Step 4: Simplify right side
    182,846x = 159,894,417,424
  5. Step 5: Solve for x
    x = 159,894,417,424/182,846
  6. Step 6: Final answer
    x = 874,475.88

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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.