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Finding the Third Proportional to 197,791 and 306,173

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Solution

The third proportional to 197,791 and 306,173 is: 473,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,791 : 306,173 = 306,173 : x
  2. Step 2: Convert to fraction form
    197,791/306,173 = 306,173/x
  3. Step 3: Cross multiply
    197,791x = 306,173 × 306,173
  4. Step 4: Simplify right side
    197,791x = 93,741,905,929
  5. Step 5: Solve for x
    x = 93,741,905,929/197,791
  6. Step 6: Final answer
    x = 473,944.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.