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Finding the Third Proportional to 207,608.25 and 325,251

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Solution

The third proportional to 207,608.25 and 325,251 is: 509,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,608.25 : 325,251 = 325,251 : x
  2. Step 2: Convert to fraction form
    207,608.25/325,251 = 325,251/x
  3. Step 3: Cross multiply
    207,608.25x = 325,251 × 325,251
  4. Step 4: Simplify right side
    207,608.25x = 105,788,213,001
  5. Step 5: Solve for x
    x = 105,788,213,001/207,608.25
  6. Step 6: Final answer
    x = 509,556.88

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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.