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Finding the Third Proportional to 240,367 and 373,661

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Solution

The third proportional to 240,367 and 373,661 is: 580,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,367 : 373,661 = 373,661 : x
  2. Step 2: Convert to fraction form
    240,367/373,661 = 373,661/x
  3. Step 3: Cross multiply
    240,367x = 373,661 × 373,661
  4. Step 4: Simplify right side
    240,367x = 139,622,542,921
  5. Step 5: Solve for x
    x = 139,622,542,921/240,367
  6. Step 6: Final answer
    x = 580,872.34

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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.