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Finding the Third Proportional to 134,613 and 283,177

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Solution

The third proportional to 134,613 and 283,177 is: 595,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,613 : 283,177 = 283,177 : x
  2. Step 2: Convert to fraction form
    134,613/283,177 = 283,177/x
  3. Step 3: Cross multiply
    134,613x = 283,177 × 283,177
  4. Step 4: Simplify right side
    134,613x = 80,189,213,329
  5. Step 5: Solve for x
    x = 80,189,213,329/134,613
  6. Step 6: Final answer
    x = 595,701.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.