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Finding the Third Proportional to 73.31 and 151.83

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Solution

The third proportional to 73.31 and 151.83 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.31 : 151.83 = 151.83 : x
  2. Step 2: Convert to fraction form
    73.31/151.83 = 151.83/x
  3. Step 3: Cross multiply
    73.31x = 151.83 × 151.83
  4. Step 4: Simplify right side
    73.31x = 23,051.78
  5. Step 5: Solve for x
    x = 23,051.78/73.31
  6. Step 6: Final answer
    x = 314.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.