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Finding the Third Proportional to 199.73 and 417.84

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Solution

The third proportional to 199.73 and 417.84 is: 874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.73 : 417.84 = 417.84 : x
  2. Step 2: Convert to fraction form
    199.73/417.84 = 417.84/x
  3. Step 3: Cross multiply
    199.73x = 417.84 × 417.84
  4. Step 4: Simplify right side
    199.73x = 174,593.40
  5. Step 5: Solve for x
    x = 174,593.40/199.73
  6. Step 6: Final answer
    x = 874.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.