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Finding the Third Proportional to 169,313 and 248,912

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Solution

The third proportional to 169,313 and 248,912 is: 365,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,313 : 248,912 = 248,912 : x
  2. Step 2: Convert to fraction form
    169,313/248,912 = 248,912/x
  3. Step 3: Cross multiply
    169,313x = 248,912 × 248,912
  4. Step 4: Simplify right side
    169,313x = 61,957,183,744
  5. Step 5: Solve for x
    x = 61,957,183,744/169,313
  6. Step 6: Final answer
    x = 365,932.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.