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Finding the Third Proportional to 193,285 and 272,187

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Solution

The third proportional to 193,285 and 272,187 is: 383,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,285 : 272,187 = 272,187 : x
  2. Step 2: Convert to fraction form
    193,285/272,187 = 272,187/x
  3. Step 3: Cross multiply
    193,285x = 272,187 × 272,187
  4. Step 4: Simplify right side
    193,285x = 74,085,762,969
  5. Step 5: Solve for x
    x = 74,085,762,969/193,285
  6. Step 6: Final answer
    x = 383,298.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.