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Finding the Third Proportional to 214.95 and 321.89

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Solution

The third proportional to 214.95 and 321.89 is: 482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.95 : 321.89 = 321.89 : x
  2. Step 2: Convert to fraction form
    214.95/321.89 = 321.89/x
  3. Step 3: Cross multiply
    214.95x = 321.89 × 321.89
  4. Step 4: Simplify right side
    214.95x = 103,613.57
  5. Step 5: Solve for x
    x = 103,613.57/214.95
  6. Step 6: Final answer
    x = 482.05

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