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Finding the Third Proportional to 252,162 and 546,349

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Solution

The third proportional to 252,162 and 546,349 is: 1,183,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,162 : 546,349 = 546,349 : x
  2. Step 2: Convert to fraction form
    252,162/546,349 = 546,349/x
  3. Step 3: Cross multiply
    252,162x = 546,349 × 546,349
  4. Step 4: Simplify right side
    252,162x = 298,497,229,801
  5. Step 5: Solve for x
    x = 298,497,229,801/252,162
  6. Step 6: Final answer
    x = 1,183,751.83

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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.