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Finding the Third Proportional to 134,592 and 283,134

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Solution

The third proportional to 134,592 and 283,134 is: 595,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,592 : 283,134 = 283,134 : x
  2. Step 2: Convert to fraction form
    134,592/283,134 = 283,134/x
  3. Step 3: Cross multiply
    134,592x = 283,134 × 283,134
  4. Step 4: Simplify right side
    134,592x = 80,164,861,956
  5. Step 5: Solve for x
    x = 80,164,861,956/134,592
  6. Step 6: Final answer
    x = 595,613.87

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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.