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Finding the Third Proportional to 82,400 and 170,636

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Solution

The third proportional to 82,400 and 170,636 is: 353,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,400 : 170,636 = 170,636 : x
  2. Step 2: Convert to fraction form
    82,400/170,636 = 170,636/x
  3. Step 3: Cross multiply
    82,400x = 170,636 × 170,636
  4. Step 4: Simplify right side
    82,400x = 29,116,644,496
  5. Step 5: Solve for x
    x = 29,116,644,496/82,400
  6. Step 6: Final answer
    x = 353,357.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.