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Finding the Third Proportional to 147 and 206.63

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Solution

The third proportional to 147 and 206.63 is: 290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 206.63 = 206.63 : x
  2. Step 2: Convert to fraction form
    147/206.63 = 206.63/x
  3. Step 3: Cross multiply
    147x = 206.63 × 206.63
  4. Step 4: Simplify right side
    147x = 42,693.89
  5. Step 5: Solve for x
    x = 42,693.89/147
  6. Step 6: Final answer
    x = 290.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.