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Finding the Third Proportional to 233 and 340

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Solution

The third proportional to 233 and 340 is: 496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233 : 340 = 340 : x
  2. Step 2: Convert to fraction form
    233/340 = 340/x
  3. Step 3: Cross multiply
    233x = 340 × 340
  4. Step 4: Simplify right side
    233x = 115,600
  5. Step 5: Solve for x
    x = 115,600/233
  6. Step 6: Final answer
    x = 496.14

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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.