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Finding the Third Proportional to 291.50 and 440.03

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Solution

The third proportional to 291.50 and 440.03 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 440.03 = 440.03 : x
  2. Step 2: Convert to fraction form
    291.50/440.03 = 440.03/x
  3. Step 3: Cross multiply
    291.50x = 440.03 × 440.03
  4. Step 4: Simplify right side
    291.50x = 193,627.50
  5. Step 5: Solve for x
    x = 193,627.50/291.50
  6. Step 6: Final answer
    x = 664.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.