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Finding the Third Proportional to 197,382 and 434,130

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Solution

The third proportional to 197,382 and 434,130 is: 954,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,382 : 434,130 = 434,130 : x
  2. Step 2: Convert to fraction form
    197,382/434,130 = 434,130/x
  3. Step 3: Cross multiply
    197,382x = 434,130 × 434,130
  4. Step 4: Simplify right side
    197,382x = 188,468,856,900
  5. Step 5: Solve for x
    x = 188,468,856,900/197,382
  6. Step 6: Final answer
    x = 954,843.18

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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.