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Finding the Third Proportional to 367.88 and 541.69

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Solution

The third proportional to 367.88 and 541.69 is: 797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 541.69 = 541.69 : x
  2. Step 2: Convert to fraction form
    367.88/541.69 = 541.69/x
  3. Step 3: Cross multiply
    367.88x = 541.69 × 541.69
  4. Step 4: Simplify right side
    367.88x = 293,425.35
  5. Step 5: Solve for x
    x = 293,425.35/367.88
  6. Step 6: Final answer
    x = 797.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.