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Finding the Third Proportional to 159,222 and 248,517

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Solution

The third proportional to 159,222 and 248,517 is: 387,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,222 : 248,517 = 248,517 : x
  2. Step 2: Convert to fraction form
    159,222/248,517 = 248,517/x
  3. Step 3: Cross multiply
    159,222x = 248,517 × 248,517
  4. Step 4: Simplify right side
    159,222x = 61,760,699,289
  5. Step 5: Solve for x
    x = 61,760,699,289/159,222
  6. Step 6: Final answer
    x = 387,890.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.