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Finding the Third Proportional to 69,968 and 150,304

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Solution

The third proportional to 69,968 and 150,304 is: 322,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,968 : 150,304 = 150,304 : x
  2. Step 2: Convert to fraction form
    69,968/150,304 = 150,304/x
  3. Step 3: Cross multiply
    69,968x = 150,304 × 150,304
  4. Step 4: Simplify right side
    69,968x = 22,591,292,416
  5. Step 5: Solve for x
    x = 22,591,292,416/69,968
  6. Step 6: Final answer
    x = 322,880.35

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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.