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Finding the Third Proportional to 178,857 and 379,037.25

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Solution

The third proportional to 178,857 and 379,037.25 is: 803,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857 : 379,037.25 = 379,037.25 : x
  2. Step 2: Convert to fraction form
    178,857/379,037.25 = 379,037.25/x
  3. Step 3: Cross multiply
    178,857x = 379,037.25 × 379,037.25
  4. Step 4: Simplify right side
    178,857x = 143,669,236,887.56
  5. Step 5: Solve for x
    x = 143,669,236,887.56/178,857
  6. Step 6: Final answer
    x = 803,263.15

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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.