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Finding the Third Proportional to 169,856 and 347,082

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Solution

The third proportional to 169,856 and 347,082 is: 709,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,856 : 347,082 = 347,082 : x
  2. Step 2: Convert to fraction form
    169,856/347,082 = 347,082/x
  3. Step 3: Cross multiply
    169,856x = 347,082 × 347,082
  4. Step 4: Simplify right side
    169,856x = 120,465,914,724
  5. Step 5: Solve for x
    x = 120,465,914,724/169,856
  6. Step 6: Final answer
    x = 709,223.78

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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.