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Finding the Third Proportional to 176.63 and 233.16

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Solution

The third proportional to 176.63 and 233.16 is: 307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.63 : 233.16 = 233.16 : x
  2. Step 2: Convert to fraction form
    176.63/233.16 = 233.16/x
  3. Step 3: Cross multiply
    176.63x = 233.16 × 233.16
  4. Step 4: Simplify right side
    176.63x = 54,361.84
  5. Step 5: Solve for x
    x = 54,361.84/176.63
  6. Step 6: Final answer
    x = 307.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.