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Finding the Third Proportional to 200.09 and 292.97

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Solution

The third proportional to 200.09 and 292.97 is: 428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.09 : 292.97 = 292.97 : x
  2. Step 2: Convert to fraction form
    200.09/292.97 = 292.97/x
  3. Step 3: Cross multiply
    200.09x = 292.97 × 292.97
  4. Step 4: Simplify right side
    200.09x = 85,830.69
  5. Step 5: Solve for x
    x = 85,830.69/200.09
  6. Step 6: Final answer
    x = 428.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.