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Finding the Third Proportional to 82,165 and 168,224

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Solution

The third proportional to 82,165 and 168,224 is: 344,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,165 : 168,224 = 168,224 : x
  2. Step 2: Convert to fraction form
    82,165/168,224 = 168,224/x
  3. Step 3: Cross multiply
    82,165x = 168,224 × 168,224
  4. Step 4: Simplify right side
    82,165x = 28,299,314,176
  5. Step 5: Solve for x
    x = 28,299,314,176/82,165
  6. Step 6: Final answer
    x = 344,420.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.