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Finding the Third Proportional to 168,458 and 363,158

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Solution

The third proportional to 168,458 and 363,158 is: 782,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,458 : 363,158 = 363,158 : x
  2. Step 2: Convert to fraction form
    168,458/363,158 = 363,158/x
  3. Step 3: Cross multiply
    168,458x = 363,158 × 363,158
  4. Step 4: Simplify right side
    168,458x = 131,883,732,964
  5. Step 5: Solve for x
    x = 131,883,732,964/168,458
  6. Step 6: Final answer
    x = 782,887.92

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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.