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Finding the Third Proportional to 216.50 and 460.75

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Solution

The third proportional to 216.50 and 460.75 is: 980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 460.75 = 460.75 : x
  2. Step 2: Convert to fraction form
    216.50/460.75 = 460.75/x
  3. Step 3: Cross multiply
    216.50x = 460.75 × 460.75
  4. Step 4: Simplify right side
    216.50x = 212,290.56
  5. Step 5: Solve for x
    x = 212,290.56/216.50
  6. Step 6: Final answer
    x = 980.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.