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Finding the Third Proportional to 178,363.75 and 261,146.75

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Solution

The third proportional to 178,363.75 and 261,146.75 is: 382,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,363.75 : 261,146.75 = 261,146.75 : x
  2. Step 2: Convert to fraction form
    178,363.75/261,146.75 = 261,146.75/x
  3. Step 3: Cross multiply
    178,363.75x = 261,146.75 × 261,146.75
  4. Step 4: Simplify right side
    178,363.75x = 68,197,625,035.56
  5. Step 5: Solve for x
    x = 68,197,625,035.56/178,363.75
  6. Step 6: Final answer
    x = 382,351.37

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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.