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Finding the Third Proportional to 69,408 and 154,344

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Solution

The third proportional to 69,408 and 154,344 is: 343,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,408 : 154,344 = 154,344 : x
  2. Step 2: Convert to fraction form
    69,408/154,344 = 154,344/x
  3. Step 3: Cross multiply
    69,408x = 154,344 × 154,344
  4. Step 4: Simplify right side
    69,408x = 23,822,070,336
  5. Step 5: Solve for x
    x = 23,822,070,336/69,408
  6. Step 6: Final answer
    x = 343,217.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.