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Finding the Third Proportional to 207,632.25 and 320,301.75

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Solution

The third proportional to 207,632.25 and 320,301.75 is: 494,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,632.25 : 320,301.75 = 320,301.75 : x
  2. Step 2: Convert to fraction form
    207,632.25/320,301.75 = 320,301.75/x
  3. Step 3: Cross multiply
    207,632.25x = 320,301.75 × 320,301.75
  4. Step 4: Simplify right side
    207,632.25x = 102,593,211,053.06
  5. Step 5: Solve for x
    x = 102,593,211,053.06/207,632.25
  6. Step 6: Final answer
    x = 494,110.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.