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Finding the Third Proportional to 233.82 and 505.30

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Solution

The third proportional to 233.82 and 505.30 is: 1,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 505.30 = 505.30 : x
  2. Step 2: Convert to fraction form
    233.82/505.30 = 505.30/x
  3. Step 3: Cross multiply
    233.82x = 505.30 × 505.30
  4. Step 4: Simplify right side
    233.82x = 255,328.88
  5. Step 5: Solve for x
    x = 255,328.88/233.82
  6. Step 6: Final answer
    x = 1,091.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.