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Finding the Third Proportional to 248,110 and 538,230

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Solution

The third proportional to 248,110 and 538,230 is: 1,167,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,110 : 538,230 = 538,230 : x
  2. Step 2: Convert to fraction form
    248,110/538,230 = 538,230/x
  3. Step 3: Cross multiply
    248,110x = 538,230 × 538,230
  4. Step 4: Simplify right side
    248,110x = 289,691,532,900
  5. Step 5: Solve for x
    x = 289,691,532,900/248,110
  6. Step 6: Final answer
    x = 1,167,593.14

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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.