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Finding the Third Proportional to 169,146 and 367,452

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Solution

The third proportional to 169,146 and 367,452 is: 798,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,146 : 367,452 = 367,452 : x
  2. Step 2: Convert to fraction form
    169,146/367,452 = 367,452/x
  3. Step 3: Cross multiply
    169,146x = 367,452 × 367,452
  4. Step 4: Simplify right side
    169,146x = 135,020,972,304
  5. Step 5: Solve for x
    x = 135,020,972,304/169,146
  6. Step 6: Final answer
    x = 798,251.05

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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.