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Finding the Third Proportional to 193.03 and 416.44

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Solution

The third proportional to 193.03 and 416.44 is: 898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.03 : 416.44 = 416.44 : x
  2. Step 2: Convert to fraction form
    193.03/416.44 = 416.44/x
  3. Step 3: Cross multiply
    193.03x = 416.44 × 416.44
  4. Step 4: Simplify right side
    193.03x = 173,420.19
  5. Step 5: Solve for x
    x = 173,420.19/193.03
  6. Step 6: Final answer
    x = 898.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.