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Finding the Third Proportional to 168,630 and 372,969

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Solution

The third proportional to 168,630 and 372,969 is: 824,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,630 : 372,969 = 372,969 : x
  2. Step 2: Convert to fraction form
    168,630/372,969 = 372,969/x
  3. Step 3: Cross multiply
    168,630x = 372,969 × 372,969
  4. Step 4: Simplify right side
    168,630x = 139,105,874,961
  5. Step 5: Solve for x
    x = 139,105,874,961/168,630
  6. Step 6: Final answer
    x = 824,917.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.