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Finding the Third Proportional to 207,397.75 and 329,775.38

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Solution

The third proportional to 207,397.75 and 329,775.38 is: 524,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,397.75 : 329,775.38 = 329,775.38 : x
  2. Step 2: Convert to fraction form
    207,397.75/329,775.38 = 329,775.38/x
  3. Step 3: Cross multiply
    207,397.75x = 329,775.38 × 329,775.38
  4. Step 4: Simplify right side
    207,397.75x = 108,751,797,956.39
  5. Step 5: Solve for x
    x = 108,751,797,956.39/207,397.75
  6. Step 6: Final answer
    x = 524,363.44

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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.