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Finding the Third Proportional to 166,440 and 271,750.50

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Solution

The third proportional to 166,440 and 271,750.50 is: 443,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,440 : 271,750.50 = 271,750.50 : x
  2. Step 2: Convert to fraction form
    166,440/271,750.50 = 271,750.50/x
  3. Step 3: Cross multiply
    166,440x = 271,750.50 × 271,750.50
  4. Step 4: Simplify right side
    166,440x = 73,848,334,250.25
  5. Step 5: Solve for x
    x = 73,848,334,250.25/166,440
  6. Step 6: Final answer
    x = 443,693.43

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.