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Finding the Third Proportional to 168,440 and 363,907

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Solution

The third proportional to 168,440 and 363,907 is: 786,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,440 : 363,907 = 363,907 : x
  2. Step 2: Convert to fraction form
    168,440/363,907 = 363,907/x
  3. Step 3: Cross multiply
    168,440x = 363,907 × 363,907
  4. Step 4: Simplify right side
    168,440x = 132,428,304,649
  5. Step 5: Solve for x
    x = 132,428,304,649/168,440
  6. Step 6: Final answer
    x = 786,204.61

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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.