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Finding the Third Proportional to 200.88 and 464.94

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Solution

The third proportional to 200.88 and 464.94 is: 1,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 464.94 = 464.94 : x
  2. Step 2: Convert to fraction form
    200.88/464.94 = 464.94/x
  3. Step 3: Cross multiply
    200.88x = 464.94 × 464.94
  4. Step 4: Simplify right side
    200.88x = 216,166.88
  5. Step 5: Solve for x
    x = 216,166.88/200.88
  6. Step 6: Final answer
    x = 1,076.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.