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Finding the Third Proportional to 118,346.25 and 166,462.50

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Solution

The third proportional to 118,346.25 and 166,462.50 is: 234,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,346.25 : 166,462.50 = 166,462.50 : x
  2. Step 2: Convert to fraction form
    118,346.25/166,462.50 = 166,462.50/x
  3. Step 3: Cross multiply
    118,346.25x = 166,462.50 × 166,462.50
  4. Step 4: Simplify right side
    118,346.25x = 27,709,763,906.25
  5. Step 5: Solve for x
    x = 27,709,763,906.25/118,346.25
  6. Step 6: Final answer
    x = 234,141.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.