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Finding the Third Proportional to 195,070 and 419,240

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Solution

The third proportional to 195,070 and 419,240 is: 901,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,070 : 419,240 = 419,240 : x
  2. Step 2: Convert to fraction form
    195,070/419,240 = 419,240/x
  3. Step 3: Cross multiply
    195,070x = 419,240 × 419,240
  4. Step 4: Simplify right side
    195,070x = 175,762,177,600
  5. Step 5: Solve for x
    x = 175,762,177,600/195,070
  6. Step 6: Final answer
    x = 901,021.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.