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Finding the Third Proportional to 200.28 and 463.47

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Solution

The third proportional to 200.28 and 463.47 is: 1,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.28 : 463.47 = 463.47 : x
  2. Step 2: Convert to fraction form
    200.28/463.47 = 463.47/x
  3. Step 3: Cross multiply
    200.28x = 463.47 × 463.47
  4. Step 4: Simplify right side
    200.28x = 214,803.28
  5. Step 5: Solve for x
    x = 214,803.28/200.28
  6. Step 6: Final answer
    x = 1,072.51

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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.