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Finding the Third Proportional to 69,150 and 150,814

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Solution

The third proportional to 69,150 and 150,814 is: 328,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,150 : 150,814 = 150,814 : x
  2. Step 2: Convert to fraction form
    69,150/150,814 = 150,814/x
  3. Step 3: Cross multiply
    69,150x = 150,814 × 150,814
  4. Step 4: Simplify right side
    69,150x = 22,744,862,596
  5. Step 5: Solve for x
    x = 22,744,862,596/69,150
  6. Step 6: Final answer
    x = 328,920.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.