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Finding the Third Proportional to 168,464 and 262,832

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Solution

The third proportional to 168,464 and 262,832 is: 410,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,464 : 262,832 = 262,832 : x
  2. Step 2: Convert to fraction form
    168,464/262,832 = 262,832/x
  3. Step 3: Cross multiply
    168,464x = 262,832 × 262,832
  4. Step 4: Simplify right side
    168,464x = 69,080,660,224
  5. Step 5: Solve for x
    x = 69,080,660,224/168,464
  6. Step 6: Final answer
    x = 410,061.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.