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Finding the Third Proportional to 214 and 498.75

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Solution

The third proportional to 214 and 498.75 is: 1,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 498.75 = 498.75 : x
  2. Step 2: Convert to fraction form
    214/498.75 = 498.75/x
  3. Step 3: Cross multiply
    214x = 498.75 × 498.75
  4. Step 4: Simplify right side
    214x = 248,751.56
  5. Step 5: Solve for x
    x = 248,751.56/214
  6. Step 6: Final answer
    x = 1,162.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.