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Finding the Third Proportional to 203,980 and 286,741

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Solution

The third proportional to 203,980 and 286,741 is: 403,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,980 : 286,741 = 286,741 : x
  2. Step 2: Convert to fraction form
    203,980/286,741 = 286,741/x
  3. Step 3: Cross multiply
    203,980x = 286,741 × 286,741
  4. Step 4: Simplify right side
    203,980x = 82,220,401,081
  5. Step 5: Solve for x
    x = 82,220,401,081/203,980
  6. Step 6: Final answer
    x = 403,080.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.