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Finding the Third Proportional to 81,477 and 170,394

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Solution

The third proportional to 81,477 and 170,394 is: 356,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,477 : 170,394 = 170,394 : x
  2. Step 2: Convert to fraction form
    81,477/170,394 = 170,394/x
  3. Step 3: Cross multiply
    81,477x = 170,394 × 170,394
  4. Step 4: Simplify right side
    81,477x = 29,034,115,236
  5. Step 5: Solve for x
    x = 29,034,115,236/81,477
  6. Step 6: Final answer
    x = 356,347.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.