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Finding the Third Proportional to 193,188 and 407,352

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Solution

The third proportional to 193,188 and 407,352 is: 858,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,188 : 407,352 = 407,352 : x
  2. Step 2: Convert to fraction form
    193,188/407,352 = 407,352/x
  3. Step 3: Cross multiply
    193,188x = 407,352 × 407,352
  4. Step 4: Simplify right side
    193,188x = 165,935,651,904
  5. Step 5: Solve for x
    x = 165,935,651,904/193,188
  6. Step 6: Final answer
    x = 858,933.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.