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Finding the Third Proportional to 171,812 and 273,334

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Solution

The third proportional to 171,812 and 273,334 is: 434,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,812 : 273,334 = 273,334 : x
  2. Step 2: Convert to fraction form
    171,812/273,334 = 273,334/x
  3. Step 3: Cross multiply
    171,812x = 273,334 × 273,334
  4. Step 4: Simplify right side
    171,812x = 74,711,475,556
  5. Step 5: Solve for x
    x = 74,711,475,556/171,812
  6. Step 6: Final answer
    x = 434,844.34

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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.