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Finding the Third Proportional to 84 and 193.50

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Solution

The third proportional to 84 and 193.50 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 193.50 = 193.50 : x
  2. Step 2: Convert to fraction form
    84/193.50 = 193.50/x
  3. Step 3: Cross multiply
    84x = 193.50 × 193.50
  4. Step 4: Simplify right side
    84x = 37,442.25
  5. Step 5: Solve for x
    x = 37,442.25/84
  6. Step 6: Final answer
    x = 445.74

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.