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Finding the Third Proportional to 169,119 and 267,593

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Solution

The third proportional to 169,119 and 267,593 is: 423,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,119 : 267,593 = 267,593 : x
  2. Step 2: Convert to fraction form
    169,119/267,593 = 267,593/x
  3. Step 3: Cross multiply
    169,119x = 267,593 × 267,593
  4. Step 4: Simplify right side
    169,119x = 71,606,013,649
  5. Step 5: Solve for x
    x = 71,606,013,649/169,119
  6. Step 6: Final answer
    x = 423,406.08

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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.