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Finding the Third Proportional to 88.24 and 190.12

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Solution

The third proportional to 88.24 and 190.12 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.24 : 190.12 = 190.12 : x
  2. Step 2: Convert to fraction form
    88.24/190.12 = 190.12/x
  3. Step 3: Cross multiply
    88.24x = 190.12 × 190.12
  4. Step 4: Simplify right side
    88.24x = 36,145.84
  5. Step 5: Solve for x
    x = 36,145.84/88.24
  6. Step 6: Final answer
    x = 409.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.