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Finding the Third Proportional to 166,623 and 237,469.50

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Solution

The third proportional to 166,623 and 237,469.50 is: 338,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,623 : 237,469.50 = 237,469.50 : x
  2. Step 2: Convert to fraction form
    166,623/237,469.50 = 237,469.50/x
  3. Step 3: Cross multiply
    166,623x = 237,469.50 × 237,469.50
  4. Step 4: Simplify right side
    166,623x = 56,391,763,430.25
  5. Step 5: Solve for x
    x = 56,391,763,430.25/166,623
  6. Step 6: Final answer
    x = 338,439.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.