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Finding the Third Proportional to 193,285 and 392,009

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Solution

The third proportional to 193,285 and 392,009 is: 795,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,285 : 392,009 = 392,009 : x
  2. Step 2: Convert to fraction form
    193,285/392,009 = 392,009/x
  3. Step 3: Cross multiply
    193,285x = 392,009 × 392,009
  4. Step 4: Simplify right side
    193,285x = 153,671,056,081
  5. Step 5: Solve for x
    x = 153,671,056,081/193,285
  6. Step 6: Final answer
    x = 795,049.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.