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Finding the Third Proportional to 159.94 and 342.66

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Solution

The third proportional to 159.94 and 342.66 is: 734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.94 : 342.66 = 342.66 : x
  2. Step 2: Convert to fraction form
    159.94/342.66 = 342.66/x
  3. Step 3: Cross multiply
    159.94x = 342.66 × 342.66
  4. Step 4: Simplify right side
    159.94x = 117,413.31
  5. Step 5: Solve for x
    x = 117,413.31/159.94
  6. Step 6: Final answer
    x = 734.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.