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Finding the Third Proportional to 197,764 and 409,548

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Solution

The third proportional to 197,764 and 409,548 is: 848,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,764 : 409,548 = 409,548 : x
  2. Step 2: Convert to fraction form
    197,764/409,548 = 409,548/x
  3. Step 3: Cross multiply
    197,764x = 409,548 × 409,548
  4. Step 4: Simplify right side
    197,764x = 167,729,564,304
  5. Step 5: Solve for x
    x = 167,729,564,304/197,764
  6. Step 6: Final answer
    x = 848,129.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.