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Finding the Third Proportional to 177,494 and 386,085

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Solution

The third proportional to 177,494 and 386,085 is: 839,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,494 : 386,085 = 386,085 : x
  2. Step 2: Convert to fraction form
    177,494/386,085 = 386,085/x
  3. Step 3: Cross multiply
    177,494x = 386,085 × 386,085
  4. Step 4: Simplify right side
    177,494x = 149,061,627,225
  5. Step 5: Solve for x
    x = 149,061,627,225/177,494
  6. Step 6: Final answer
    x = 839,812.20

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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.