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Finding the Third Proportional to 182,601 and 267,601.50

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Solution

The third proportional to 182,601 and 267,601.50 is: 392,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,601 : 267,601.50 = 267,601.50 : x
  2. Step 2: Convert to fraction form
    182,601/267,601.50 = 267,601.50/x
  3. Step 3: Cross multiply
    182,601x = 267,601.50 × 267,601.50
  4. Step 4: Simplify right side
    182,601x = 71,610,562,802.25
  5. Step 5: Solve for x
    x = 71,610,562,802.25/182,601
  6. Step 6: Final answer
    x = 392,169.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.