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Finding the Third Proportional to 168,460 and 363,162

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Solution

The third proportional to 168,460 and 363,162 is: 782,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,460 : 363,162 = 363,162 : x
  2. Step 2: Convert to fraction form
    168,460/363,162 = 363,162/x
  3. Step 3: Cross multiply
    168,460x = 363,162 × 363,162
  4. Step 4: Simplify right side
    168,460x = 131,886,638,244
  5. Step 5: Solve for x
    x = 131,886,638,244/168,460
  6. Step 6: Final answer
    x = 782,895.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.