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Finding the Third Proportional to 69,322 and 150,298

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Solution

The third proportional to 69,322 and 150,298 is: 325,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322 : 150,298 = 150,298 : x
  2. Step 2: Convert to fraction form
    69,322/150,298 = 150,298/x
  3. Step 3: Cross multiply
    69,322x = 150,298 × 150,298
  4. Step 4: Simplify right side
    69,322x = 22,589,488,804
  5. Step 5: Solve for x
    x = 22,589,488,804/69,322
  6. Step 6: Final answer
    x = 325,863.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.