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Finding the Third Proportional to 216.75 and 316.88

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Solution

The third proportional to 216.75 and 316.88 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 316.88 = 316.88 : x
  2. Step 2: Convert to fraction form
    216.75/316.88 = 316.88/x
  3. Step 3: Cross multiply
    216.75x = 316.88 × 316.88
  4. Step 4: Simplify right side
    216.75x = 100,409.77
  5. Step 5: Solve for x
    x = 100,409.77/216.75
  6. Step 6: Final answer
    x = 463.25

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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.