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Finding the Third Proportional to 178,843 and 265,188

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Solution

The third proportional to 178,843 and 265,188 is: 393,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,843 : 265,188 = 265,188 : x
  2. Step 2: Convert to fraction form
    178,843/265,188 = 265,188/x
  3. Step 3: Cross multiply
    178,843x = 265,188 × 265,188
  4. Step 4: Simplify right side
    178,843x = 70,324,675,344
  5. Step 5: Solve for x
    x = 70,324,675,344/178,843
  6. Step 6: Final answer
    x = 393,220.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.