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Finding the Third Proportional to 150,360 and 198,749

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Solution

The third proportional to 150,360 and 198,749 is: 262,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,360 : 198,749 = 198,749 : x
  2. Step 2: Convert to fraction form
    150,360/198,749 = 198,749/x
  3. Step 3: Cross multiply
    150,360x = 198,749 × 198,749
  4. Step 4: Simplify right side
    150,360x = 39,501,165,001
  5. Step 5: Solve for x
    x = 39,501,165,001/150,360
  6. Step 6: Final answer
    x = 262,710.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.