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Finding the Third Proportional to 147 and 205.63

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Solution

The third proportional to 147 and 205.63 is: 287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 205.63 = 205.63 : x
  2. Step 2: Convert to fraction form
    147/205.63 = 205.63/x
  3. Step 3: Cross multiply
    147x = 205.63 × 205.63
  4. Step 4: Simplify right side
    147x = 42,281.64
  5. Step 5: Solve for x
    x = 42,281.64/147
  6. Step 6: Final answer
    x = 287.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.