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Finding the Third Proportional to 216.95 and 325.05

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Solution

The third proportional to 216.95 and 325.05 is: 487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.95 : 325.05 = 325.05 : x
  2. Step 2: Convert to fraction form
    216.95/325.05 = 325.05/x
  3. Step 3: Cross multiply
    216.95x = 325.05 × 325.05
  4. Step 4: Simplify right side
    216.95x = 105,660.55
  5. Step 5: Solve for x
    x = 105,660.55/216.95
  6. Step 6: Final answer
    x = 487.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.