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Finding the Third Proportional to 168,490 and 363,092

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Solution

The third proportional to 168,490 and 363,092 is: 782,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,490 : 363,092 = 363,092 : x
  2. Step 2: Convert to fraction form
    168,490/363,092 = 363,092/x
  3. Step 3: Cross multiply
    168,490x = 363,092 × 363,092
  4. Step 4: Simplify right side
    168,490x = 131,835,800,464
  5. Step 5: Solve for x
    x = 131,835,800,464/168,490
  6. Step 6: Final answer
    x = 782,454.75

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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.