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Finding the Third Proportional to 182,691 and 273,114

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Solution

The third proportional to 182,691 and 273,114 is: 408,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,691 : 273,114 = 273,114 : x
  2. Step 2: Convert to fraction form
    182,691/273,114 = 273,114/x
  3. Step 3: Cross multiply
    182,691x = 273,114 × 273,114
  4. Step 4: Simplify right side
    182,691x = 74,591,256,996
  5. Step 5: Solve for x
    x = 74,591,256,996/182,691
  6. Step 6: Final answer
    x = 408,291.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.