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Finding the Third Proportional to 146,626 and 319,496

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Solution

The third proportional to 146,626 and 319,496 is: 696,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,626 : 319,496 = 319,496 : x
  2. Step 2: Convert to fraction form
    146,626/319,496 = 319,496/x
  3. Step 3: Cross multiply
    146,626x = 319,496 × 319,496
  4. Step 4: Simplify right side
    146,626x = 102,077,694,016
  5. Step 5: Solve for x
    x = 102,077,694,016/146,626
  6. Step 6: Final answer
    x = 696,177.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.