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Finding the Third Proportional to 169,980 and 250,049

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Solution

The third proportional to 169,980 and 250,049 is: 367,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,980 : 250,049 = 250,049 : x
  2. Step 2: Convert to fraction form
    169,980/250,049 = 250,049/x
  3. Step 3: Cross multiply
    169,980x = 250,049 × 250,049
  4. Step 4: Simplify right side
    169,980x = 62,524,502,401
  5. Step 5: Solve for x
    x = 62,524,502,401/169,980
  6. Step 6: Final answer
    x = 367,834.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.