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Finding the Third Proportional to 169,864 and 367,408

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Solution

The third proportional to 169,864 and 367,408 is: 794,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,864 : 367,408 = 367,408 : x
  2. Step 2: Convert to fraction form
    169,864/367,408 = 367,408/x
  3. Step 3: Cross multiply
    169,864x = 367,408 × 367,408
  4. Step 4: Simplify right side
    169,864x = 134,988,638,464
  5. Step 5: Solve for x
    x = 134,988,638,464/169,864
  6. Step 6: Final answer
    x = 794,686.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.