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Finding the Third Proportional to 168,005 and 373,554

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Solution

The third proportional to 168,005 and 373,554 is: 830,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,005 : 373,554 = 373,554 : x
  2. Step 2: Convert to fraction form
    168,005/373,554 = 373,554/x
  3. Step 3: Cross multiply
    168,005x = 373,554 × 373,554
  4. Step 4: Simplify right side
    168,005x = 139,542,590,916
  5. Step 5: Solve for x
    x = 139,542,590,916/168,005
  6. Step 6: Final answer
    x = 830,585.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.