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Finding the Third Proportional to 130,285 and 194,660

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Solution

The third proportional to 130,285 and 194,660 is: 290,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,285 : 194,660 = 194,660 : x
  2. Step 2: Convert to fraction form
    130,285/194,660 = 194,660/x
  3. Step 3: Cross multiply
    130,285x = 194,660 × 194,660
  4. Step 4: Simplify right side
    130,285x = 37,892,515,600
  5. Step 5: Solve for x
    x = 37,892,515,600/130,285
  6. Step 6: Final answer
    x = 290,843.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.