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Finding the Third Proportional to 175,178.50 and 267,142

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Solution

The third proportional to 175,178.50 and 267,142 is: 407,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,178.50 : 267,142 = 267,142 : x
  2. Step 2: Convert to fraction form
    175,178.50/267,142 = 267,142/x
  3. Step 3: Cross multiply
    175,178.50x = 267,142 × 267,142
  4. Step 4: Simplify right side
    175,178.50x = 71,364,848,164
  5. Step 5: Solve for x
    x = 71,364,848,164/175,178.50
  6. Step 6: Final answer
    x = 407,383.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.