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Finding the Third Proportional to 197,648 and 435,616

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Solution

The third proportional to 197,648 and 435,616 is: 960,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,648 : 435,616 = 435,616 : x
  2. Step 2: Convert to fraction form
    197,648/435,616 = 435,616/x
  3. Step 3: Cross multiply
    197,648x = 435,616 × 435,616
  4. Step 4: Simplify right side
    197,648x = 189,761,299,456
  5. Step 5: Solve for x
    x = 189,761,299,456/197,648
  6. Step 6: Final answer
    x = 960,097.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.