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Finding the Third Proportional to 207,576.75 and 321,049.13

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Solution

The third proportional to 207,576.75 and 321,049.13 is: 496,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,576.75 : 321,049.13 = 321,049.13 : x
  2. Step 2: Convert to fraction form
    207,576.75/321,049.13 = 321,049.13/x
  3. Step 3: Cross multiply
    207,576.75x = 321,049.13 × 321,049.13
  4. Step 4: Simplify right side
    207,576.75x = 103,072,540,663.27
  5. Step 5: Solve for x
    x = 103,072,540,663.27/207,576.75
  6. Step 6: Final answer
    x = 496,551.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.