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Finding the Third Proportional to 178,858.13 and 379,039.50

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Solution

The third proportional to 178,858.13 and 379,039.50 is: 803,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,858.13 : 379,039.50 = 379,039.50 : x
  2. Step 2: Convert to fraction form
    178,858.13/379,039.50 = 379,039.50/x
  3. Step 3: Cross multiply
    178,858.13x = 379,039.50 × 379,039.50
  4. Step 4: Simplify right side
    178,858.13x = 143,670,942,560.25
  5. Step 5: Solve for x
    x = 143,670,942,560.25/178,858.13
  6. Step 6: Final answer
    x = 803,267.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.