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Finding the Third Proportional to 73,838 and 173,351

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Solution

The third proportional to 73,838 and 173,351 is: 406,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,838 : 173,351 = 173,351 : x
  2. Step 2: Convert to fraction form
    73,838/173,351 = 173,351/x
  3. Step 3: Cross multiply
    73,838x = 173,351 × 173,351
  4. Step 4: Simplify right side
    73,838x = 30,050,569,201
  5. Step 5: Solve for x
    x = 30,050,569,201/73,838
  6. Step 6: Final answer
    x = 406,979.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.