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Finding the Third Proportional to 84,347 and 181,197

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Solution

The third proportional to 84,347 and 181,197 is: 389,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,347 : 181,197 = 181,197 : x
  2. Step 2: Convert to fraction form
    84,347/181,197 = 181,197/x
  3. Step 3: Cross multiply
    84,347x = 181,197 × 181,197
  4. Step 4: Simplify right side
    84,347x = 32,832,352,809
  5. Step 5: Solve for x
    x = 32,832,352,809/84,347
  6. Step 6: Final answer
    x = 389,253.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.