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Finding the Third Proportional to 252,163 and 546,351

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Solution

The third proportional to 252,163 and 546,351 is: 1,183,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,163 : 546,351 = 546,351 : x
  2. Step 2: Convert to fraction form
    252,163/546,351 = 546,351/x
  3. Step 3: Cross multiply
    252,163x = 546,351 × 546,351
  4. Step 4: Simplify right side
    252,163x = 298,499,415,201
  5. Step 5: Solve for x
    x = 298,499,415,201/252,163
  6. Step 6: Final answer
    x = 1,183,755.81

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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.