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Finding the Third Proportional to 90.35 and 192.06

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Solution

The third proportional to 90.35 and 192.06 is: 408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.35 : 192.06 = 192.06 : x
  2. Step 2: Convert to fraction form
    90.35/192.06 = 192.06/x
  3. Step 3: Cross multiply
    90.35x = 192.06 × 192.06
  4. Step 4: Simplify right side
    90.35x = 36,886.50
  5. Step 5: Solve for x
    x = 36,886.50/90.35
  6. Step 6: Final answer
    x = 408.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.