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Finding the Third Proportional to 69,464 and 150,584

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Solution

The third proportional to 69,464 and 150,584 is: 326,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,464 : 150,584 = 150,584 : x
  2. Step 2: Convert to fraction form
    69,464/150,584 = 150,584/x
  3. Step 3: Cross multiply
    69,464x = 150,584 × 150,584
  4. Step 4: Simplify right side
    69,464x = 22,675,541,056
  5. Step 5: Solve for x
    x = 22,675,541,056/69,464
  6. Step 6: Final answer
    x = 326,435.87

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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.