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Finding the Third Proportional to 338.63 and 751.50

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Solution

The third proportional to 338.63 and 751.50 is: 1,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 751.50 = 751.50 : x
  2. Step 2: Convert to fraction form
    338.63/751.50 = 751.50/x
  3. Step 3: Cross multiply
    338.63x = 751.50 × 751.50
  4. Step 4: Simplify right side
    338.63x = 564,752.25
  5. Step 5: Solve for x
    x = 564,752.25/338.63
  6. Step 6: Final answer
    x = 1,667.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.