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Finding the Third Proportional to 166,106 and 389,962

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Solution

The third proportional to 166,106 and 389,962 is: 915,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,106 : 389,962 = 389,962 : x
  2. Step 2: Convert to fraction form
    166,106/389,962 = 389,962/x
  3. Step 3: Cross multiply
    166,106x = 389,962 × 389,962
  4. Step 4: Simplify right side
    166,106x = 152,070,361,444
  5. Step 5: Solve for x
    x = 152,070,361,444/166,106
  6. Step 6: Final answer
    x = 915,501.92

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