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Finding the Third Proportional to 197,896 and 296,844

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Solution

The third proportional to 197,896 and 296,844 is: 445,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,896 : 296,844 = 296,844 : x
  2. Step 2: Convert to fraction form
    197,896/296,844 = 296,844/x
  3. Step 3: Cross multiply
    197,896x = 296,844 × 296,844
  4. Step 4: Simplify right side
    197,896x = 88,116,360,336
  5. Step 5: Solve for x
    x = 88,116,360,336/197,896
  6. Step 6: Final answer
    x = 445,266

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.