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Finding the Third Proportional to 171,722 and 373,954

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Solution

The third proportional to 171,722 and 373,954 is: 814,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,722 : 373,954 = 373,954 : x
  2. Step 2: Convert to fraction form
    171,722/373,954 = 373,954/x
  3. Step 3: Cross multiply
    171,722x = 373,954 × 373,954
  4. Step 4: Simplify right side
    171,722x = 139,841,594,116
  5. Step 5: Solve for x
    x = 139,841,594,116/171,722
  6. Step 6: Final answer
    x = 814,348.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.