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Finding the Third Proportional to 172.03 and 416.16

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Solution

The third proportional to 172.03 and 416.16 is: 1,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.03 : 416.16 = 416.16 : x
  2. Step 2: Convert to fraction form
    172.03/416.16 = 416.16/x
  3. Step 3: Cross multiply
    172.03x = 416.16 × 416.16
  4. Step 4: Simplify right side
    172.03x = 173,186.02
  5. Step 5: Solve for x
    x = 173,186.02/172.03
  6. Step 6: Final answer
    x = 1,006.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.