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Finding the Third Proportional to 174,471 and 377,925

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Solution

The third proportional to 174,471 and 377,925 is: 818,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,471 : 377,925 = 377,925 : x
  2. Step 2: Convert to fraction form
    174,471/377,925 = 377,925/x
  3. Step 3: Cross multiply
    174,471x = 377,925 × 377,925
  4. Step 4: Simplify right side
    174,471x = 142,827,305,625
  5. Step 5: Solve for x
    x = 142,827,305,625/174,471
  6. Step 6: Final answer
    x = 818,630.64

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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.