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Finding the Third Proportional to 248,183 and 538,351

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Solution

The third proportional to 248,183 and 538,351 is: 1,167,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,183 : 538,351 = 538,351 : x
  2. Step 2: Convert to fraction form
    248,183/538,351 = 538,351/x
  3. Step 3: Cross multiply
    248,183x = 538,351 × 538,351
  4. Step 4: Simplify right side
    248,183x = 289,821,799,201
  5. Step 5: Solve for x
    x = 289,821,799,201/248,183
  6. Step 6: Final answer
    x = 1,167,774.58

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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.