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Finding the Third Proportional to 182,688 and 273,288

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Solution

The third proportional to 182,688 and 273,288 is: 408,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,688 : 273,288 = 273,288 : x
  2. Step 2: Convert to fraction form
    182,688/273,288 = 273,288/x
  3. Step 3: Cross multiply
    182,688x = 273,288 × 273,288
  4. Step 4: Simplify right side
    182,688x = 74,686,330,944
  5. Step 5: Solve for x
    x = 74,686,330,944/182,688
  6. Step 6: Final answer
    x = 408,819.03

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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.