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Finding the Third Proportional to 197,376 and 434,118

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Solution

The third proportional to 197,376 and 434,118 is: 954,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376 : 434,118 = 434,118 : x
  2. Step 2: Convert to fraction form
    197,376/434,118 = 434,118/x
  3. Step 3: Cross multiply
    197,376x = 434,118 × 434,118
  4. Step 4: Simplify right side
    197,376x = 188,458,437,924
  5. Step 5: Solve for x
    x = 188,458,437,924/197,376
  6. Step 6: Final answer
    x = 954,819.42

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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.