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Finding the Third Proportional to 215.95 and 333.52

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Solution

The third proportional to 215.95 and 333.52 is: 515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.95 : 333.52 = 333.52 : x
  2. Step 2: Convert to fraction form
    215.95/333.52 = 333.52/x
  3. Step 3: Cross multiply
    215.95x = 333.52 × 333.52
  4. Step 4: Simplify right side
    215.95x = 111,232.67
  5. Step 5: Solve for x
    x = 111,232.67/215.95
  6. Step 6: Final answer
    x = 515.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.