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Finding the Third Proportional to 159.36 and 369.83

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Solution

The third proportional to 159.36 and 369.83 is: 858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.36 : 369.83 = 369.83 : x
  2. Step 2: Convert to fraction form
    159.36/369.83 = 369.83/x
  3. Step 3: Cross multiply
    159.36x = 369.83 × 369.83
  4. Step 4: Simplify right side
    159.36x = 136,771.40
  5. Step 5: Solve for x
    x = 136,771.40/159.36
  6. Step 6: Final answer
    x = 858.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.