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Finding the Third Proportional to 116.25 and 193.63

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Solution

The third proportional to 116.25 and 193.63 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.25 : 193.63 = 193.63 : x
  2. Step 2: Convert to fraction form
    116.25/193.63 = 193.63/x
  3. Step 3: Cross multiply
    116.25x = 193.63 × 193.63
  4. Step 4: Simplify right side
    116.25x = 37,490.64
  5. Step 5: Solve for x
    x = 37,490.64/116.25
  6. Step 6: Final answer
    x = 322.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.