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Finding the Third Proportional to 120,366 and 259,362

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Solution

The third proportional to 120,366 and 259,362 is: 558,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,366 : 259,362 = 259,362 : x
  2. Step 2: Convert to fraction form
    120,366/259,362 = 259,362/x
  3. Step 3: Cross multiply
    120,366x = 259,362 × 259,362
  4. Step 4: Simplify right side
    120,366x = 67,268,647,044
  5. Step 5: Solve for x
    x = 67,268,647,044/120,366
  6. Step 6: Final answer
    x = 558,867.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.