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Finding the Third Proportional to 174,672 and 377,234

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Solution

The third proportional to 174,672 and 377,234 is: 814,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672 : 377,234 = 377,234 : x
  2. Step 2: Convert to fraction form
    174,672/377,234 = 377,234/x
  3. Step 3: Cross multiply
    174,672x = 377,234 × 377,234
  4. Step 4: Simplify right side
    174,672x = 142,305,490,756
  5. Step 5: Solve for x
    x = 142,305,490,756/174,672
  6. Step 6: Final answer
    x = 814,701.22

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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.