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Finding the Third Proportional to 198,114.75 and 300,960

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Solution

The third proportional to 198,114.75 and 300,960 is: 457,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,114.75 : 300,960 = 300,960 : x
  2. Step 2: Convert to fraction form
    198,114.75/300,960 = 300,960/x
  3. Step 3: Cross multiply
    198,114.75x = 300,960 × 300,960
  4. Step 4: Simplify right side
    198,114.75x = 90,576,921,600
  5. Step 5: Solve for x
    x = 90,576,921,600/198,114.75
  6. Step 6: Final answer
    x = 457,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.