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Finding the Third Proportional to 168,533 and 362,758

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Solution

The third proportional to 168,533 and 362,758 is: 780,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,533 : 362,758 = 362,758 : x
  2. Step 2: Convert to fraction form
    168,533/362,758 = 362,758/x
  3. Step 3: Cross multiply
    168,533x = 362,758 × 362,758
  4. Step 4: Simplify right side
    168,533x = 131,593,366,564
  5. Step 5: Solve for x
    x = 131,593,366,564/168,533
  6. Step 6: Final answer
    x = 780,816.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.