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Finding the Third Proportional to 254,166 and 550,174

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Solution

The third proportional to 254,166 and 550,174 is: 1,190,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,166 : 550,174 = 550,174 : x
  2. Step 2: Convert to fraction form
    254,166/550,174 = 550,174/x
  3. Step 3: Cross multiply
    254,166x = 550,174 × 550,174
  4. Step 4: Simplify right side
    254,166x = 302,691,430,276
  5. Step 5: Solve for x
    x = 302,691,430,276/254,166
  6. Step 6: Final answer
    x = 1,190,920.23

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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.