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Finding the Third Proportional to 168,480 and 262,856

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Solution

The third proportional to 168,480 and 262,856 is: 410,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,480 : 262,856 = 262,856 : x
  2. Step 2: Convert to fraction form
    168,480/262,856 = 262,856/x
  3. Step 3: Cross multiply
    168,480x = 262,856 × 262,856
  4. Step 4: Simplify right side
    168,480x = 69,093,276,736
  5. Step 5: Solve for x
    x = 69,093,276,736/168,480
  6. Step 6: Final answer
    x = 410,097.80

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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.