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Finding the Third Proportional to 82,332 and 167,578

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Solution

The third proportional to 82,332 and 167,578 is: 341,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,332 : 167,578 = 167,578 : x
  2. Step 2: Convert to fraction form
    82,332/167,578 = 167,578/x
  3. Step 3: Cross multiply
    82,332x = 167,578 × 167,578
  4. Step 4: Simplify right side
    82,332x = 28,082,386,084
  5. Step 5: Solve for x
    x = 28,082,386,084/82,332
  6. Step 6: Final answer
    x = 341,087.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.