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Finding the Third Proportional to 169,468 and 368,452

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Solution

The third proportional to 169,468 and 368,452 is: 801,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,468 : 368,452 = 368,452 : x
  2. Step 2: Convert to fraction form
    169,468/368,452 = 368,452/x
  3. Step 3: Cross multiply
    169,468x = 368,452 × 368,452
  4. Step 4: Simplify right side
    169,468x = 135,756,876,304
  5. Step 5: Solve for x
    x = 135,756,876,304/169,468
  6. Step 6: Final answer
    x = 801,076.76

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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.