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Finding the Third Proportional to 68,648 and 150,418

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Solution

The third proportional to 68,648 and 150,418 is: 329,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,648 : 150,418 = 150,418 : x
  2. Step 2: Convert to fraction form
    68,648/150,418 = 150,418/x
  3. Step 3: Cross multiply
    68,648x = 150,418 × 150,418
  4. Step 4: Simplify right side
    68,648x = 22,625,574,724
  5. Step 5: Solve for x
    x = 22,625,574,724/68,648
  6. Step 6: Final answer
    x = 329,588.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.