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Finding the Third Proportional to 178,839 and 265,182

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Solution

The third proportional to 178,839 and 265,182 is: 393,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,839 : 265,182 = 265,182 : x
  2. Step 2: Convert to fraction form
    178,839/265,182 = 265,182/x
  3. Step 3: Cross multiply
    178,839x = 265,182 × 265,182
  4. Step 4: Simplify right side
    178,839x = 70,321,493,124
  5. Step 5: Solve for x
    x = 70,321,493,124/178,839
  6. Step 6: Final answer
    x = 393,211.17

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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.