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Finding the Third Proportional to 213.25 and 340

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Solution

The third proportional to 213.25 and 340 is: 542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.25 : 340 = 340 : x
  2. Step 2: Convert to fraction form
    213.25/340 = 340/x
  3. Step 3: Cross multiply
    213.25x = 340 × 340
  4. Step 4: Simplify right side
    213.25x = 115,600
  5. Step 5: Solve for x
    x = 115,600/213.25
  6. Step 6: Final answer
    x = 542.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.