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Finding the Third Proportional to 166,091 and 389,925

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Solution

The third proportional to 166,091 and 389,925 is: 915,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,091 : 389,925 = 389,925 : x
  2. Step 2: Convert to fraction form
    166,091/389,925 = 389,925/x
  3. Step 3: Cross multiply
    166,091x = 389,925 × 389,925
  4. Step 4: Simplify right side
    166,091x = 152,041,505,625
  5. Step 5: Solve for x
    x = 152,041,505,625/166,091
  6. Step 6: Final answer
    x = 915,410.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.