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Finding the Third Proportional to 193,179 and 407,334

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Solution

The third proportional to 193,179 and 407,334 is: 858,897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,179 : 407,334 = 407,334 : x
  2. Step 2: Convert to fraction form
    193,179/407,334 = 407,334/x
  3. Step 3: Cross multiply
    193,179x = 407,334 × 407,334
  4. Step 4: Simplify right side
    193,179x = 165,920,987,556
  5. Step 5: Solve for x
    x = 165,920,987,556/193,179
  6. Step 6: Final answer
    x = 858,897.64

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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.