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Finding the Third Proportional to 146,542 and 313,818

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Solution

The third proportional to 146,542 and 313,818 is: 672,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,542 : 313,818 = 313,818 : x
  2. Step 2: Convert to fraction form
    146,542/313,818 = 313,818/x
  3. Step 3: Cross multiply
    146,542x = 313,818 × 313,818
  4. Step 4: Simplify right side
    146,542x = 98,481,737,124
  5. Step 5: Solve for x
    x = 98,481,737,124/146,542
  6. Step 6: Final answer
    x = 672,037.62

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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.