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Finding the Third Proportional to 199.97 and 288.84

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Solution

The third proportional to 199.97 and 288.84 is: 417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 288.84 = 288.84 : x
  2. Step 2: Convert to fraction form
    199.97/288.84 = 288.84/x
  3. Step 3: Cross multiply
    199.97x = 288.84 × 288.84
  4. Step 4: Simplify right side
    199.97x = 83,430.71
  5. Step 5: Solve for x
    x = 83,430.71/199.97
  6. Step 6: Final answer
    x = 417.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.