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Finding the Third Proportional to 182,577 and 398,367

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Solution

The third proportional to 182,577 and 398,367 is: 869,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,577 : 398,367 = 398,367 : x
  2. Step 2: Convert to fraction form
    182,577/398,367 = 398,367/x
  3. Step 3: Cross multiply
    182,577x = 398,367 × 398,367
  4. Step 4: Simplify right side
    182,577x = 158,696,266,689
  5. Step 5: Solve for x
    x = 158,696,266,689/182,577
  6. Step 6: Final answer
    x = 869,201.85

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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.