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Finding the Third Proportional to 174,750 and 379,164

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Solution

The third proportional to 174,750 and 379,164 is: 822,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750 : 379,164 = 379,164 : x
  2. Step 2: Convert to fraction form
    174,750/379,164 = 379,164/x
  3. Step 3: Cross multiply
    174,750x = 379,164 × 379,164
  4. Step 4: Simplify right side
    174,750x = 143,765,338,896
  5. Step 5: Solve for x
    x = 143,765,338,896/174,750
  6. Step 6: Final answer
    x = 822,691.50

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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.