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Finding the Third Proportional to 205,720 and 272,969

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Solution

The third proportional to 205,720 and 272,969 is: 362,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,720 : 272,969 = 272,969 : x
  2. Step 2: Convert to fraction form
    205,720/272,969 = 272,969/x
  3. Step 3: Cross multiply
    205,720x = 272,969 × 272,969
  4. Step 4: Simplify right side
    205,720x = 74,512,074,961
  5. Step 5: Solve for x
    x = 74,512,074,961/205,720
  6. Step 6: Final answer
    x = 362,201.41

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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.