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Finding the Third Proportional to 73,816 and 158,384

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Solution

The third proportional to 73,816 and 158,384 is: 339,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,816 : 158,384 = 158,384 : x
  2. Step 2: Convert to fraction form
    73,816/158,384 = 158,384/x
  3. Step 3: Cross multiply
    73,816x = 158,384 × 158,384
  4. Step 4: Simplify right side
    73,816x = 25,085,491,456
  5. Step 5: Solve for x
    x = 25,085,491,456/73,816
  6. Step 6: Final answer
    x = 339,838.13

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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.