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Finding the Third Proportional to 135,610 and 283,613

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Solution

The third proportional to 135,610 and 283,613 is: 593,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,610 : 283,613 = 283,613 : x
  2. Step 2: Convert to fraction form
    135,610/283,613 = 283,613/x
  3. Step 3: Cross multiply
    135,610x = 283,613 × 283,613
  4. Step 4: Simplify right side
    135,610x = 80,436,333,769
  5. Step 5: Solve for x
    x = 80,436,333,769/135,610
  6. Step 6: Final answer
    x = 593,144.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.