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Finding the Third Proportional to 133,758 and 284,850

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Solution

The third proportional to 133,758 and 284,850 is: 606,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,758 : 284,850 = 284,850 : x
  2. Step 2: Convert to fraction form
    133,758/284,850 = 284,850/x
  3. Step 3: Cross multiply
    133,758x = 284,850 × 284,850
  4. Step 4: Simplify right side
    133,758x = 81,139,522,500
  5. Step 5: Solve for x
    x = 81,139,522,500/133,758
  6. Step 6: Final answer
    x = 606,614.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.