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Finding the Third Proportional to 147.38 and 197.06

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Solution

The third proportional to 147.38 and 197.06 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.38 : 197.06 = 197.06 : x
  2. Step 2: Convert to fraction form
    147.38/197.06 = 197.06/x
  3. Step 3: Cross multiply
    147.38x = 197.06 × 197.06
  4. Step 4: Simplify right side
    147.38x = 38,833.63
  5. Step 5: Solve for x
    x = 38,833.63/147.38
  6. Step 6: Final answer
    x = 263.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.