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Finding the Third Proportional to 69,584 and 150,282

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Solution

The third proportional to 69,584 and 150,282 is: 324,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,584 : 150,282 = 150,282 : x
  2. Step 2: Convert to fraction form
    69,584/150,282 = 150,282/x
  3. Step 3: Cross multiply
    69,584x = 150,282 × 150,282
  4. Step 4: Simplify right side
    69,584x = 22,584,679,524
  5. Step 5: Solve for x
    x = 22,584,679,524/69,584
  6. Step 6: Final answer
    x = 324,567.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.