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Finding the Third Proportional to 252.02 and 367.35

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Solution

The third proportional to 252.02 and 367.35 is: 535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 367.35 = 367.35 : x
  2. Step 2: Convert to fraction form
    252.02/367.35 = 367.35/x
  3. Step 3: Cross multiply
    252.02x = 367.35 × 367.35
  4. Step 4: Simplify right side
    252.02x = 134,944.30
  5. Step 5: Solve for x
    x = 134,944.30/252.02
  6. Step 6: Final answer
    x = 535.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.