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Finding the Third Proportional to 193,174 and 307,378

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Solution

The third proportional to 193,174 and 307,378 is: 489,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,174 : 307,378 = 307,378 : x
  2. Step 2: Convert to fraction form
    193,174/307,378 = 307,378/x
  3. Step 3: Cross multiply
    193,174x = 307,378 × 307,378
  4. Step 4: Simplify right side
    193,174x = 94,481,234,884
  5. Step 5: Solve for x
    x = 94,481,234,884/193,174
  6. Step 6: Final answer
    x = 489,099.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.