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Finding the Third Proportional to 368 and 649

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Solution

The third proportional to 368 and 649 is: 1,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368 : 649 = 649 : x
  2. Step 2: Convert to fraction form
    368/649 = 649/x
  3. Step 3: Cross multiply
    368x = 649 × 649
  4. Step 4: Simplify right side
    368x = 421,201
  5. Step 5: Solve for x
    x = 421,201/368
  6. Step 6: Final answer
    x = 1,144.57

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.