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Finding the Third Proportional to 193.22 and 297.84

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Solution

The third proportional to 193.22 and 297.84 is: 459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.22 : 297.84 = 297.84 : x
  2. Step 2: Convert to fraction form
    193.22/297.84 = 297.84/x
  3. Step 3: Cross multiply
    193.22x = 297.84 × 297.84
  4. Step 4: Simplify right side
    193.22x = 88,710.90
  5. Step 5: Solve for x
    x = 88,710.90/193.22
  6. Step 6: Final answer
    x = 459.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.