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Finding the Third Proportional to 174,008 and 379,975

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Solution

The third proportional to 174,008 and 379,975 is: 829,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,008 : 379,975 = 379,975 : x
  2. Step 2: Convert to fraction form
    174,008/379,975 = 379,975/x
  3. Step 3: Cross multiply
    174,008x = 379,975 × 379,975
  4. Step 4: Simplify right side
    174,008x = 144,381,000,625
  5. Step 5: Solve for x
    x = 144,381,000,625/174,008
  6. Step 6: Final answer
    x = 829,737.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.