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Finding the Third Proportional to 168,922 and 367,050

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Solution

The third proportional to 168,922 and 367,050 is: 797,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,922 : 367,050 = 367,050 : x
  2. Step 2: Convert to fraction form
    168,922/367,050 = 367,050/x
  3. Step 3: Cross multiply
    168,922x = 367,050 × 367,050
  4. Step 4: Simplify right side
    168,922x = 134,725,702,500
  5. Step 5: Solve for x
    x = 134,725,702,500/168,922
  6. Step 6: Final answer
    x = 797,561.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.