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Finding the Third Proportional to 177,990 and 386,796

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Solution

The third proportional to 177,990 and 386,796 is: 840,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,990 : 386,796 = 386,796 : x
  2. Step 2: Convert to fraction form
    177,990/386,796 = 386,796/x
  3. Step 3: Cross multiply
    177,990x = 386,796 × 386,796
  4. Step 4: Simplify right side
    177,990x = 149,611,145,616
  5. Step 5: Solve for x
    x = 149,611,145,616/177,990
  6. Step 6: Final answer
    x = 840,559.28

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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.