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Finding the Third Proportional to 254,164 and 550,170

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Solution

The third proportional to 254,164 and 550,170 is: 1,190,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,164 : 550,170 = 550,170 : x
  2. Step 2: Convert to fraction form
    254,164/550,170 = 550,170/x
  3. Step 3: Cross multiply
    254,164x = 550,170 × 550,170
  4. Step 4: Simplify right side
    254,164x = 302,687,028,900
  5. Step 5: Solve for x
    x = 302,687,028,900/254,164
  6. Step 6: Final answer
    x = 1,190,912.28

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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.