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Finding the Third Proportional to 254,162 and 550,167

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Solution

The third proportional to 254,162 and 550,167 is: 1,190,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,162 : 550,167 = 550,167 : x
  2. Step 2: Convert to fraction form
    254,162/550,167 = 550,167/x
  3. Step 3: Cross multiply
    254,162x = 550,167 × 550,167
  4. Step 4: Simplify right side
    254,162x = 302,683,727,889
  5. Step 5: Solve for x
    x = 302,683,727,889/254,162
  6. Step 6: Final answer
    x = 1,190,908.66

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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.