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Finding the Third Proportional to 63,184 and 140,378

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Solution

The third proportional to 63,184 and 140,378 is: 311,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,184 : 140,378 = 140,378 : x
  2. Step 2: Convert to fraction form
    63,184/140,378 = 140,378/x
  3. Step 3: Cross multiply
    63,184x = 140,378 × 140,378
  4. Step 4: Simplify right side
    63,184x = 19,705,982,884
  5. Step 5: Solve for x
    x = 19,705,982,884/63,184
  6. Step 6: Final answer
    x = 311,882.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.