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Finding the Third Proportional to 175,600 and 379,279

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Solution

The third proportional to 175,600 and 379,279 is: 819,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,600 : 379,279 = 379,279 : x
  2. Step 2: Convert to fraction form
    175,600/379,279 = 379,279/x
  3. Step 3: Cross multiply
    175,600x = 379,279 × 379,279
  4. Step 4: Simplify right side
    175,600x = 143,852,559,841
  5. Step 5: Solve for x
    x = 143,852,559,841/175,600
  6. Step 6: Final answer
    x = 819,205.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.