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Finding the Third Proportional to 195,548 and 279,100

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Solution

The third proportional to 195,548 and 279,100 is: 398,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,548 : 279,100 = 279,100 : x
  2. Step 2: Convert to fraction form
    195,548/279,100 = 279,100/x
  3. Step 3: Cross multiply
    195,548x = 279,100 × 279,100
  4. Step 4: Simplify right side
    195,548x = 77,896,810,000
  5. Step 5: Solve for x
    x = 77,896,810,000/195,548
  6. Step 6: Final answer
    x = 398,351.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.