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Finding the Third Proportional to 233 and 261.50

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Solution

The third proportional to 233 and 261.50 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233 : 261.50 = 261.50 : x
  2. Step 2: Convert to fraction form
    233/261.50 = 261.50/x
  3. Step 3: Cross multiply
    233x = 261.50 × 261.50
  4. Step 4: Simplify right side
    233x = 68,382.25
  5. Step 5: Solve for x
    x = 68,382.25/233
  6. Step 6: Final answer
    x = 293.49

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.