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Finding the Third Proportional to 205,776 and 273,110

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Solution

The third proportional to 205,776 and 273,110 is: 362,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,776 : 273,110 = 273,110 : x
  2. Step 2: Convert to fraction form
    205,776/273,110 = 273,110/x
  3. Step 3: Cross multiply
    205,776x = 273,110 × 273,110
  4. Step 4: Simplify right side
    205,776x = 74,589,072,100
  5. Step 5: Solve for x
    x = 74,589,072,100/205,776
  6. Step 6: Final answer
    x = 362,477.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.