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Finding the Third Proportional to 207,620 and 325,266

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Solution

The third proportional to 207,620 and 325,266 is: 509,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,620 : 325,266 = 325,266 : x
  2. Step 2: Convert to fraction form
    207,620/325,266 = 325,266/x
  3. Step 3: Cross multiply
    207,620x = 325,266 × 325,266
  4. Step 4: Simplify right side
    207,620x = 105,797,970,756
  5. Step 5: Solve for x
    x = 105,797,970,756/207,620
  6. Step 6: Final answer
    x = 509,575.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.