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Finding the Third Proportional to 79.19 and 183.31

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Solution

The third proportional to 79.19 and 183.31 is: 424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.19 : 183.31 = 183.31 : x
  2. Step 2: Convert to fraction form
    79.19/183.31 = 183.31/x
  3. Step 3: Cross multiply
    79.19x = 183.31 × 183.31
  4. Step 4: Simplify right side
    79.19x = 33,603.47
  5. Step 5: Solve for x
    x = 33,603.47/79.19
  6. Step 6: Final answer
    x = 424.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.