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Finding the Third Proportional to 207,236.75 and 329,537.25

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Solution

The third proportional to 207,236.75 and 329,537.25 is: 524,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,236.75 : 329,537.25 = 329,537.25 : x
  2. Step 2: Convert to fraction form
    207,236.75/329,537.25 = 329,537.25/x
  3. Step 3: Cross multiply
    207,236.75x = 329,537.25 × 329,537.25
  4. Step 4: Simplify right side
    207,236.75x = 108,594,799,137.56
  5. Step 5: Solve for x
    x = 108,594,799,137.56/207,236.75
  6. Step 6: Final answer
    x = 524,013.23

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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.