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Finding the Third Proportional to 192.90 and 296.79

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Solution

The third proportional to 192.90 and 296.79 is: 456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 296.79 = 296.79 : x
  2. Step 2: Convert to fraction form
    192.90/296.79 = 296.79/x
  3. Step 3: Cross multiply
    192.90x = 296.79 × 296.79
  4. Step 4: Simplify right side
    192.90x = 88,083.75
  5. Step 5: Solve for x
    x = 88,083.75/192.90
  6. Step 6: Final answer
    x = 456.62

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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.