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Finding the Third Proportional to 188.53 and 409.41

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Solution

The third proportional to 188.53 and 409.41 is: 889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.53 : 409.41 = 409.41 : x
  2. Step 2: Convert to fraction form
    188.53/409.41 = 409.41/x
  3. Step 3: Cross multiply
    188.53x = 409.41 × 409.41
  4. Step 4: Simplify right side
    188.53x = 167,613.48
  5. Step 5: Solve for x
    x = 167,613.48/188.53
  6. Step 6: Final answer
    x = 889.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.