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Finding the Third Proportional to 198,491.50 and 431,975

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Solution

The third proportional to 198,491.50 and 431,975 is: 940,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,491.50 : 431,975 = 431,975 : x
  2. Step 2: Convert to fraction form
    198,491.50/431,975 = 431,975/x
  3. Step 3: Cross multiply
    198,491.50x = 431,975 × 431,975
  4. Step 4: Simplify right side
    198,491.50x = 186,602,400,625
  5. Step 5: Solve for x
    x = 186,602,400,625/198,491.50
  6. Step 6: Final answer
    x = 940,102.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.