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Finding the Third Proportional to 147 and 297.38

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Solution

The third proportional to 147 and 297.38 is: 601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 297.38 = 297.38 : x
  2. Step 2: Convert to fraction form
    147/297.38 = 297.38/x
  3. Step 3: Cross multiply
    147x = 297.38 × 297.38
  4. Step 4: Simplify right side
    147x = 88,431.89
  5. Step 5: Solve for x
    x = 88,431.89/147
  6. Step 6: Final answer
    x = 601.58

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.