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Finding the Third Proportional to 131,378 and 289,002

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Solution

The third proportional to 131,378 and 289,002 is: 635,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,378 : 289,002 = 289,002 : x
  2. Step 2: Convert to fraction form
    131,378/289,002 = 289,002/x
  3. Step 3: Cross multiply
    131,378x = 289,002 × 289,002
  4. Step 4: Simplify right side
    131,378x = 83,522,156,004
  5. Step 5: Solve for x
    x = 83,522,156,004/131,378
  6. Step 6: Final answer
    x = 635,739.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.