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Finding the Third Proportional to 146,048 and 313,908

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Solution

The third proportional to 146,048 and 313,908 is: 674,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,048 : 313,908 = 313,908 : x
  2. Step 2: Convert to fraction form
    146,048/313,908 = 313,908/x
  3. Step 3: Cross multiply
    146,048x = 313,908 × 313,908
  4. Step 4: Simplify right side
    146,048x = 98,538,232,464
  5. Step 5: Solve for x
    x = 98,538,232,464/146,048
  6. Step 6: Final answer
    x = 674,697.58

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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.