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Finding the Third Proportional to 182,508 and 273,020

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Solution

The third proportional to 182,508 and 273,020 is: 408,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,508 : 273,020 = 273,020 : x
  2. Step 2: Convert to fraction form
    182,508/273,020 = 273,020/x
  3. Step 3: Cross multiply
    182,508x = 273,020 × 273,020
  4. Step 4: Simplify right side
    182,508x = 74,539,920,400
  5. Step 5: Solve for x
    x = 74,539,920,400/182,508
  6. Step 6: Final answer
    x = 408,420.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.