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Finding the Third Proportional to 214 and 313

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Solution

The third proportional to 214 and 313 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 313 = 313 : x
  2. Step 2: Convert to fraction form
    214/313 = 313/x
  3. Step 3: Cross multiply
    214x = 313 × 313
  4. Step 4: Simplify right side
    214x = 97,969
  5. Step 5: Solve for x
    x = 97,969/214
  6. Step 6: Final answer
    x = 457.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.