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Finding the Third Proportional to 197,760 and 434,832

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Solution

The third proportional to 197,760 and 434,832 is: 956,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,760 : 434,832 = 434,832 : x
  2. Step 2: Convert to fraction form
    197,760/434,832 = 434,832/x
  3. Step 3: Cross multiply
    197,760x = 434,832 × 434,832
  4. Step 4: Simplify right side
    197,760x = 189,078,868,224
  5. Step 5: Solve for x
    x = 189,078,868,224/197,760
  6. Step 6: Final answer
    x = 956,102.69

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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.