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Finding the Third Proportional to 138,108 and 295,880

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Solution

The third proportional to 138,108 and 295,880 is: 633,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,108 : 295,880 = 295,880 : x
  2. Step 2: Convert to fraction form
    138,108/295,880 = 295,880/x
  3. Step 3: Cross multiply
    138,108x = 295,880 × 295,880
  4. Step 4: Simplify right side
    138,108x = 87,544,974,400
  5. Step 5: Solve for x
    x = 87,544,974,400/138,108
  6. Step 6: Final answer
    x = 633,887.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.