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Finding the Third Proportional to 179,972 and 416,647

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Solution

The third proportional to 179,972 and 416,647 is: 964,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,972 : 416,647 = 416,647 : x
  2. Step 2: Convert to fraction form
    179,972/416,647 = 416,647/x
  3. Step 3: Cross multiply
    179,972x = 416,647 × 416,647
  4. Step 4: Simplify right side
    179,972x = 173,594,722,609
  5. Step 5: Solve for x
    x = 173,594,722,609/179,972
  6. Step 6: Final answer
    x = 964,565.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.