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Finding the Third Proportional to 168,448 and 363,008

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Solution

The third proportional to 168,448 and 363,008 is: 782,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,448 : 363,008 = 363,008 : x
  2. Step 2: Convert to fraction form
    168,448/363,008 = 363,008/x
  3. Step 3: Cross multiply
    168,448x = 363,008 × 363,008
  4. Step 4: Simplify right side
    168,448x = 131,774,808,064
  5. Step 5: Solve for x
    x = 131,774,808,064/168,448
  6. Step 6: Final answer
    x = 782,287.76

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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.