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Finding the Third Proportional to 160,419 and 224,268

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Solution

The third proportional to 160,419 and 224,268 is: 313,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,419 : 224,268 = 224,268 : x
  2. Step 2: Convert to fraction form
    160,419/224,268 = 224,268/x
  3. Step 3: Cross multiply
    160,419x = 224,268 × 224,268
  4. Step 4: Simplify right side
    160,419x = 50,296,135,824
  5. Step 5: Solve for x
    x = 50,296,135,824/160,419
  6. Step 6: Final answer
    x = 313,529.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.