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Finding the Third Proportional to 197 and 373

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Solution

The third proportional to 197 and 373 is: 706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197 : 373 = 373 : x
  2. Step 2: Convert to fraction form
    197/373 = 373/x
  3. Step 3: Cross multiply
    197x = 373 × 373
  4. Step 4: Simplify right side
    197x = 139,129
  5. Step 5: Solve for x
    x = 139,129/197
  6. Step 6: Final answer
    x = 706.24

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.