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Finding the Third Proportional to 177,920 and 386,816

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Solution

The third proportional to 177,920 and 386,816 is: 840,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,920 : 386,816 = 386,816 : x
  2. Step 2: Convert to fraction form
    177,920/386,816 = 386,816/x
  3. Step 3: Cross multiply
    177,920x = 386,816 × 386,816
  4. Step 4: Simplify right side
    177,920x = 149,626,617,856
  5. Step 5: Solve for x
    x = 149,626,617,856/177,920
  6. Step 6: Final answer
    x = 840,976.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.