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Finding the Third Proportional to 193,191 and 407,358

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Solution

The third proportional to 193,191 and 407,358 is: 858,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,191 : 407,358 = 407,358 : x
  2. Step 2: Convert to fraction form
    193,191/407,358 = 407,358/x
  3. Step 3: Cross multiply
    193,191x = 407,358 × 407,358
  4. Step 4: Simplify right side
    193,191x = 165,940,540,164
  5. Step 5: Solve for x
    x = 165,940,540,164/193,191
  6. Step 6: Final answer
    x = 858,945.50

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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.