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Finding the Third Proportional to 147 and 248.63

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Solution

The third proportional to 147 and 248.63 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 248.63 = 248.63 : x
  2. Step 2: Convert to fraction form
    147/248.63 = 248.63/x
  3. Step 3: Cross multiply
    147x = 248.63 × 248.63
  4. Step 4: Simplify right side
    147x = 61,814.39
  5. Step 5: Solve for x
    x = 61,814.39/147
  6. Step 6: Final answer
    x = 420.51

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.