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Finding the Third Proportional to 250,022 and 397,173

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Solution

The third proportional to 250,022 and 397,173 is: 630,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,022 : 397,173 = 397,173 : x
  2. Step 2: Convert to fraction form
    250,022/397,173 = 397,173/x
  3. Step 3: Cross multiply
    250,022x = 397,173 × 397,173
  4. Step 4: Simplify right side
    250,022x = 157,746,391,929
  5. Step 5: Solve for x
    x = 157,746,391,929/250,022
  6. Step 6: Final answer
    x = 630,930.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.