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Finding the Third Proportional to 248,108 and 538,226

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Solution

The third proportional to 248,108 and 538,226 is: 1,167,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,108 : 538,226 = 538,226 : x
  2. Step 2: Convert to fraction form
    248,108/538,226 = 538,226/x
  3. Step 3: Cross multiply
    248,108x = 538,226 × 538,226
  4. Step 4: Simplify right side
    248,108x = 289,687,227,076
  5. Step 5: Solve for x
    x = 289,687,227,076/248,108
  6. Step 6: Final answer
    x = 1,167,585.19

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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.