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Finding the Third Proportional to 239,366 and 354,427

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Solution

The third proportional to 239,366 and 354,427 is: 524,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,366 : 354,427 = 354,427 : x
  2. Step 2: Convert to fraction form
    239,366/354,427 = 354,427/x
  3. Step 3: Cross multiply
    239,366x = 354,427 × 354,427
  4. Step 4: Simplify right side
    239,366x = 125,618,498,329
  5. Step 5: Solve for x
    x = 125,618,498,329/239,366
  6. Step 6: Final answer
    x = 524,796.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.