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Finding the Third Proportional to 177,812 and 386,150

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Solution

The third proportional to 177,812 and 386,150 is: 838,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,812 : 386,150 = 386,150 : x
  2. Step 2: Convert to fraction form
    177,812/386,150 = 386,150/x
  3. Step 3: Cross multiply
    177,812x = 386,150 × 386,150
  4. Step 4: Simplify right side
    177,812x = 149,111,822,500
  5. Step 5: Solve for x
    x = 149,111,822,500/177,812
  6. Step 6: Final answer
    x = 838,592.57

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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.