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Finding the Third Proportional to 174,850.31 and 377,611.88

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Solution

The third proportional to 174,850.31 and 377,611.88 is: 815,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,850.31 : 377,611.88 = 377,611.88 : x
  2. Step 2: Convert to fraction form
    174,850.31/377,611.88 = 377,611.88/x
  3. Step 3: Cross multiply
    174,850.31x = 377,611.88 × 377,611.88
  4. Step 4: Simplify right side
    174,850.31x = 142,590,728,141.02
  5. Step 5: Solve for x
    x = 142,590,728,141.02/174,850.31
  6. Step 6: Final answer
    x = 815,501.71

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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.