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Finding the Third Proportional to 72.94 and 176.84

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Solution

The third proportional to 72.94 and 176.84 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 176.84 = 176.84 : x
  2. Step 2: Convert to fraction form
    72.94/176.84 = 176.84/x
  3. Step 3: Cross multiply
    72.94x = 176.84 × 176.84
  4. Step 4: Simplify right side
    72.94x = 31,273.71
  5. Step 5: Solve for x
    x = 31,273.71/72.94
  6. Step 6: Final answer
    x = 428.77

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.