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Finding the Third Proportional to 168,036 and 363,656

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Solution

The third proportional to 168,036 and 363,656 is: 787,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,036 : 363,656 = 363,656 : x
  2. Step 2: Convert to fraction form
    168,036/363,656 = 363,656/x
  3. Step 3: Cross multiply
    168,036x = 363,656 × 363,656
  4. Step 4: Simplify right side
    168,036x = 132,245,686,336
  5. Step 5: Solve for x
    x = 132,245,686,336/168,036
  6. Step 6: Final answer
    x = 787,008.06

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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.