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Finding the Third Proportional to 179,091 and 387,774

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Solution

The third proportional to 179,091 and 387,774 is: 839,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,091 : 387,774 = 387,774 : x
  2. Step 2: Convert to fraction form
    179,091/387,774 = 387,774/x
  3. Step 3: Cross multiply
    179,091x = 387,774 × 387,774
  4. Step 4: Simplify right side
    179,091x = 150,368,675,076
  5. Step 5: Solve for x
    x = 150,368,675,076/179,091
  6. Step 6: Final answer
    x = 839,621.62

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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.