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Finding the Third Proportional to 133,857 and 291,034

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Solution

The third proportional to 133,857 and 291,034 is: 632,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,857 : 291,034 = 291,034 : x
  2. Step 2: Convert to fraction form
    133,857/291,034 = 291,034/x
  3. Step 3: Cross multiply
    133,857x = 291,034 × 291,034
  4. Step 4: Simplify right side
    133,857x = 84,700,789,156
  5. Step 5: Solve for x
    x = 84,700,789,156/133,857
  6. Step 6: Final answer
    x = 632,770.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.