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Finding the Third Proportional to 177,491 and 386,079

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Solution

The third proportional to 177,491 and 386,079 is: 839,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,491 : 386,079 = 386,079 : x
  2. Step 2: Convert to fraction form
    177,491/386,079 = 386,079/x
  3. Step 3: Cross multiply
    177,491x = 386,079 × 386,079
  4. Step 4: Simplify right side
    177,491x = 149,056,994,241
  5. Step 5: Solve for x
    x = 149,056,994,241/177,491
  6. Step 6: Final answer
    x = 839,800.30

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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.