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Finding the Third Proportional to 176.63 and 235.97

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Solution

The third proportional to 176.63 and 235.97 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.63 : 235.97 = 235.97 : x
  2. Step 2: Convert to fraction form
    176.63/235.97 = 235.97/x
  3. Step 3: Cross multiply
    176.63x = 235.97 × 235.97
  4. Step 4: Simplify right side
    176.63x = 55,681.25
  5. Step 5: Solve for x
    x = 55,681.25/176.63
  6. Step 6: Final answer
    x = 315.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.