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Finding the Third Proportional to 197,548 and 434,648

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Solution

The third proportional to 197,548 and 434,648 is: 956,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,548 : 434,648 = 434,648 : x
  2. Step 2: Convert to fraction form
    197,548/434,648 = 434,648/x
  3. Step 3: Cross multiply
    197,548x = 434,648 × 434,648
  4. Step 4: Simplify right side
    197,548x = 188,918,883,904
  5. Step 5: Solve for x
    x = 188,918,883,904/197,548
  6. Step 6: Final answer
    x = 956,318.89

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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.