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Finding the Third Proportional to 179,016 and 250,946

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Solution

The third proportional to 179,016 and 250,946 is: 351,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,016 : 250,946 = 250,946 : x
  2. Step 2: Convert to fraction form
    179,016/250,946 = 250,946/x
  3. Step 3: Cross multiply
    179,016x = 250,946 × 250,946
  4. Step 4: Simplify right side
    179,016x = 62,973,894,916
  5. Step 5: Solve for x
    x = 62,973,894,916/179,016
  6. Step 6: Final answer
    x = 351,778.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.