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Finding the Third Proportional to 197,151 and 305,838

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Solution

The third proportional to 197,151 and 305,838 is: 474,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,151 : 305,838 = 305,838 : x
  2. Step 2: Convert to fraction form
    197,151/305,838 = 305,838/x
  3. Step 3: Cross multiply
    197,151x = 305,838 × 305,838
  4. Step 4: Simplify right side
    197,151x = 93,536,882,244
  5. Step 5: Solve for x
    x = 93,536,882,244/197,151
  6. Step 6: Final answer
    x = 474,442.85

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