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Finding the Third Proportional to 178,365 and 261,149

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Solution

The third proportional to 178,365 and 261,149 is: 382,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,365 : 261,149 = 261,149 : x
  2. Step 2: Convert to fraction form
    178,365/261,149 = 261,149/x
  3. Step 3: Cross multiply
    178,365x = 261,149 × 261,149
  4. Step 4: Simplify right side
    178,365x = 68,198,800,201
  5. Step 5: Solve for x
    x = 68,198,800,201/178,365
  6. Step 6: Final answer
    x = 382,355.28

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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.