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Finding the Third Proportional to 169,131 and 267,609

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Solution

The third proportional to 169,131 and 267,609 is: 423,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,131 : 267,609 = 267,609 : x
  2. Step 2: Convert to fraction form
    169,131/267,609 = 267,609/x
  3. Step 3: Cross multiply
    169,131x = 267,609 × 267,609
  4. Step 4: Simplify right side
    169,131x = 71,614,576,881
  5. Step 5: Solve for x
    x = 71,614,576,881/169,131
  6. Step 6: Final answer
    x = 423,426.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.