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Finding the Third Proportional to 169,247 and 367,670

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Solution

The third proportional to 169,247 and 367,670 is: 798,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,247 : 367,670 = 367,670 : x
  2. Step 2: Convert to fraction form
    169,247/367,670 = 367,670/x
  3. Step 3: Cross multiply
    169,247x = 367,670 × 367,670
  4. Step 4: Simplify right side
    169,247x = 135,181,228,900
  5. Step 5: Solve for x
    x = 135,181,228,900/169,247
  6. Step 6: Final answer
    x = 798,721.57

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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.