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Finding the Third Proportional to 233.63 and 309.94

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Solution

The third proportional to 233.63 and 309.94 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 309.94 = 309.94 : x
  2. Step 2: Convert to fraction form
    233.63/309.94 = 309.94/x
  3. Step 3: Cross multiply
    233.63x = 309.94 × 309.94
  4. Step 4: Simplify right side
    233.63x = 96,061.25
  5. Step 5: Solve for x
    x = 96,061.25/233.63
  6. Step 6: Final answer
    x = 411.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.