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Finding the Third Proportional to 179,734 and 238,496

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Solution

The third proportional to 179,734 and 238,496 is: 316,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,734 : 238,496 = 238,496 : x
  2. Step 2: Convert to fraction form
    179,734/238,496 = 238,496/x
  3. Step 3: Cross multiply
    179,734x = 238,496 × 238,496
  4. Step 4: Simplify right side
    179,734x = 56,880,342,016
  5. Step 5: Solve for x
    x = 56,880,342,016/179,734
  6. Step 6: Final answer
    x = 316,469.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.