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Finding the Third Proportional to 169,296 and 401,082

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Solution

The third proportional to 169,296 and 401,082 is: 950,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,296 : 401,082 = 401,082 : x
  2. Step 2: Convert to fraction form
    169,296/401,082 = 401,082/x
  3. Step 3: Cross multiply
    169,296x = 401,082 × 401,082
  4. Step 4: Simplify right side
    169,296x = 160,866,770,724
  5. Step 5: Solve for x
    x = 160,866,770,724/169,296
  6. Step 6: Final answer
    x = 950,210.11

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.