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Finding the Third Proportional to 233 and 462.25

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Solution

The third proportional to 233 and 462.25 is: 917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233 : 462.25 = 462.25 : x
  2. Step 2: Convert to fraction form
    233/462.25 = 462.25/x
  3. Step 3: Cross multiply
    233x = 462.25 × 462.25
  4. Step 4: Simplify right side
    233x = 213,675.06
  5. Step 5: Solve for x
    x = 213,675.06/233
  6. Step 6: Final answer
    x = 917.06

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.