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Finding the Third Proportional to 205,707 and 273,013

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Solution

The third proportional to 205,707 and 273,013 is: 362,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707 : 273,013 = 273,013 : x
  2. Step 2: Convert to fraction form
    205,707/273,013 = 273,013/x
  3. Step 3: Cross multiply
    205,707x = 273,013 × 273,013
  4. Step 4: Simplify right side
    205,707x = 74,536,098,169
  5. Step 5: Solve for x
    x = 74,536,098,169/205,707
  6. Step 6: Final answer
    x = 362,341.09

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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.