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Finding the Third Proportional to 169,170 and 367,491

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Solution

The third proportional to 169,170 and 367,491 is: 798,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,170 : 367,491 = 367,491 : x
  2. Step 2: Convert to fraction form
    169,170/367,491 = 367,491/x
  3. Step 3: Cross multiply
    169,170x = 367,491 × 367,491
  4. Step 4: Simplify right side
    169,170x = 135,049,635,081
  5. Step 5: Solve for x
    x = 135,049,635,081/169,170
  6. Step 6: Final answer
    x = 798,307.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.