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Finding the Third Proportional to 182,930 and 399,376

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Solution

The third proportional to 182,930 and 399,376 is: 871,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,930 : 399,376 = 399,376 : x
  2. Step 2: Convert to fraction form
    182,930/399,376 = 399,376/x
  3. Step 3: Cross multiply
    182,930x = 399,376 × 399,376
  4. Step 4: Simplify right side
    182,930x = 159,501,189,376
  5. Step 5: Solve for x
    x = 159,501,189,376/182,930
  6. Step 6: Final answer
    x = 871,924.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.