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Finding the Third Proportional to 182,068 and 372,882

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Solution

The third proportional to 182,068 and 372,882 is: 763,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,068 : 372,882 = 372,882 : x
  2. Step 2: Convert to fraction form
    182,068/372,882 = 372,882/x
  3. Step 3: Cross multiply
    182,068x = 372,882 × 372,882
  4. Step 4: Simplify right side
    182,068x = 139,040,985,924
  5. Step 5: Solve for x
    x = 139,040,985,924/182,068
  6. Step 6: Final answer
    x = 763,676.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.