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Finding the Third Proportional to 183,296 and 273,216

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Solution

The third proportional to 183,296 and 273,216 is: 407,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,296 : 273,216 = 273,216 : x
  2. Step 2: Convert to fraction form
    183,296/273,216 = 273,216/x
  3. Step 3: Cross multiply
    183,296x = 273,216 × 273,216
  4. Step 4: Simplify right side
    183,296x = 74,646,982,656
  5. Step 5: Solve for x
    x = 74,646,982,656/183,296
  6. Step 6: Final answer
    x = 407,248.29

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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.