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Finding the Third Proportional to 83,796 and 181,408

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Solution

The third proportional to 83,796 and 181,408 is: 392,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796 : 181,408 = 181,408 : x
  2. Step 2: Convert to fraction form
    83,796/181,408 = 181,408/x
  3. Step 3: Cross multiply
    83,796x = 181,408 × 181,408
  4. Step 4: Simplify right side
    83,796x = 32,908,862,464
  5. Step 5: Solve for x
    x = 32,908,862,464/83,796
  6. Step 6: Final answer
    x = 392,725.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.