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Finding the Third Proportional to 191.99 and 288.18

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Solution

The third proportional to 191.99 and 288.18 is: 432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.99 : 288.18 = 288.18 : x
  2. Step 2: Convert to fraction form
    191.99/288.18 = 288.18/x
  3. Step 3: Cross multiply
    191.99x = 288.18 × 288.18
  4. Step 4: Simplify right side
    191.99x = 83,045.28
  5. Step 5: Solve for x
    x = 83,045.28/191.99
  6. Step 6: Final answer
    x = 432.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.