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Finding the Third Proportional to 73.38 and 160.25

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Solution

The third proportional to 73.38 and 160.25 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.38 : 160.25 = 160.25 : x
  2. Step 2: Convert to fraction form
    73.38/160.25 = 160.25/x
  3. Step 3: Cross multiply
    73.38x = 160.25 × 160.25
  4. Step 4: Simplify right side
    73.38x = 25,680.06
  5. Step 5: Solve for x
    x = 25,680.06/73.38
  6. Step 6: Final answer
    x = 349.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.