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Finding the Third Proportional to 174,755 and 379,102

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Solution

The third proportional to 174,755 and 379,102 is: 822,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,755 : 379,102 = 379,102 : x
  2. Step 2: Convert to fraction form
    174,755/379,102 = 379,102/x
  3. Step 3: Cross multiply
    174,755x = 379,102 × 379,102
  4. Step 4: Simplify right side
    174,755x = 143,718,326,404
  5. Step 5: Solve for x
    x = 143,718,326,404/174,755
  6. Step 6: Final answer
    x = 822,398.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.