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Finding the Third Proportional to 152,668 and 325,625

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Solution

The third proportional to 152,668 and 325,625 is: 694,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,668 : 325,625 = 325,625 : x
  2. Step 2: Convert to fraction form
    152,668/325,625 = 325,625/x
  3. Step 3: Cross multiply
    152,668x = 325,625 × 325,625
  4. Step 4: Simplify right side
    152,668x = 106,031,640,625
  5. Step 5: Solve for x
    x = 106,031,640,625/152,668
  6. Step 6: Final answer
    x = 694,524.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.