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Finding the Third Proportional to 78.19 and 160.88

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Solution

The third proportional to 78.19 and 160.88 is: 331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.19 : 160.88 = 160.88 : x
  2. Step 2: Convert to fraction form
    78.19/160.88 = 160.88/x
  3. Step 3: Cross multiply
    78.19x = 160.88 × 160.88
  4. Step 4: Simplify right side
    78.19x = 25,880.77
  5. Step 5: Solve for x
    x = 25,880.77/78.19
  6. Step 6: Final answer
    x = 331.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.