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Finding the Third Proportional to 178,093.69 and 381,098.25

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Solution

The third proportional to 178,093.69 and 381,098.25 is: 815,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,093.69 : 381,098.25 = 381,098.25 : x
  2. Step 2: Convert to fraction form
    178,093.69/381,098.25 = 381,098.25/x
  3. Step 3: Cross multiply
    178,093.69x = 381,098.25 × 381,098.25
  4. Step 4: Simplify right side
    178,093.69x = 145,235,876,153.06
  5. Step 5: Solve for x
    x = 145,235,876,153.06/178,093.69
  6. Step 6: Final answer
    x = 815,502.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.