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Finding the Third Proportional to 82,017 and 170,577.84

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Solution

The third proportional to 82,017 and 170,577.84 is: 354,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017 : 170,577.84 = 170,577.84 : x
  2. Step 2: Convert to fraction form
    82,017/170,577.84 = 170,577.84/x
  3. Step 3: Cross multiply
    82,017x = 170,577.84 × 170,577.84
  4. Step 4: Simplify right side
    82,017x = 29,096,800,778.40
  5. Step 5: Solve for x
    x = 29,096,800,778.40/82,017
  6. Step 6: Final answer
    x = 354,765.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.