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Finding the Third Proportional to 252,645 and 548,166

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Solution

The third proportional to 252,645 and 548,166 is: 1,189,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,645 : 548,166 = 548,166 : x
  2. Step 2: Convert to fraction form
    252,645/548,166 = 548,166/x
  3. Step 3: Cross multiply
    252,645x = 548,166 × 548,166
  4. Step 4: Simplify right side
    252,645x = 300,485,963,556
  5. Step 5: Solve for x
    x = 300,485,963,556/252,645
  6. Step 6: Final answer
    x = 1,189,360.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.