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Finding the Third Proportional to 82,329 and 167,574

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Solution

The third proportional to 82,329 and 167,574 is: 341,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329 : 167,574 = 167,574 : x
  2. Step 2: Convert to fraction form
    82,329/167,574 = 167,574/x
  3. Step 3: Cross multiply
    82,329x = 167,574 × 167,574
  4. Step 4: Simplify right side
    82,329x = 28,081,045,476
  5. Step 5: Solve for x
    x = 28,081,045,476/82,329
  6. Step 6: Final answer
    x = 341,083.28

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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.