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Finding the Third Proportional to 183,396 and 273,366

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Solution

The third proportional to 183,396 and 273,366 is: 407,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,396 : 273,366 = 273,366 : x
  2. Step 2: Convert to fraction form
    183,396/273,366 = 273,366/x
  3. Step 3: Cross multiply
    183,396x = 273,366 × 273,366
  4. Step 4: Simplify right side
    183,396x = 74,728,969,956
  5. Step 5: Solve for x
    x = 74,728,969,956/183,396
  6. Step 6: Final answer
    x = 407,473.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.