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Finding the Third Proportional to 157.94 and 216.47

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Solution

The third proportional to 157.94 and 216.47 is: 296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.94 : 216.47 = 216.47 : x
  2. Step 2: Convert to fraction form
    157.94/216.47 = 216.47/x
  3. Step 3: Cross multiply
    157.94x = 216.47 × 216.47
  4. Step 4: Simplify right side
    157.94x = 46,858.72
  5. Step 5: Solve for x
    x = 46,858.72/157.94
  6. Step 6: Final answer
    x = 296.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.