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Finding the Third Proportional to 178,364 and 261,147

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Solution

The third proportional to 178,364 and 261,147 is: 382,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,364 : 261,147 = 261,147 : x
  2. Step 2: Convert to fraction form
    178,364/261,147 = 261,147/x
  3. Step 3: Cross multiply
    178,364x = 261,147 × 261,147
  4. Step 4: Simplify right side
    178,364x = 68,197,755,609
  5. Step 5: Solve for x
    x = 68,197,755,609/178,364
  6. Step 6: Final answer
    x = 382,351.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.