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Finding the Third Proportional to 176.69 and 252.06

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Solution

The third proportional to 176.69 and 252.06 is: 359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.69 : 252.06 = 252.06 : x
  2. Step 2: Convert to fraction form
    176.69/252.06 = 252.06/x
  3. Step 3: Cross multiply
    176.69x = 252.06 × 252.06
  4. Step 4: Simplify right side
    176.69x = 63,535.50
  5. Step 5: Solve for x
    x = 63,535.50/176.69
  6. Step 6: Final answer
    x = 359.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.