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Finding the Third Proportional to 200.06 and 477.66

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Solution

The third proportional to 200.06 and 477.66 is: 1,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 477.66 = 477.66 : x
  2. Step 2: Convert to fraction form
    200.06/477.66 = 477.66/x
  3. Step 3: Cross multiply
    200.06x = 477.66 × 477.66
  4. Step 4: Simplify right side
    200.06x = 228,155.49
  5. Step 5: Solve for x
    x = 228,155.49/200.06
  6. Step 6: Final answer
    x = 1,140.42

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.