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Finding the Third Proportional to 188.97 and 412.04

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Solution

The third proportional to 188.97 and 412.04 is: 898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 412.04 = 412.04 : x
  2. Step 2: Convert to fraction form
    188.97/412.04 = 412.04/x
  3. Step 3: Cross multiply
    188.97x = 412.04 × 412.04
  4. Step 4: Simplify right side
    188.97x = 169,776.99
  5. Step 5: Solve for x
    x = 169,776.99/188.97
  6. Step 6: Final answer
    x = 898.42

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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.