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Finding the Third Proportional to 169,384 and 248,896

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Solution

The third proportional to 169,384 and 248,896 is: 365,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,384 : 248,896 = 248,896 : x
  2. Step 2: Convert to fraction form
    169,384/248,896 = 248,896/x
  3. Step 3: Cross multiply
    169,384x = 248,896 × 248,896
  4. Step 4: Simplify right side
    169,384x = 61,949,218,816
  5. Step 5: Solve for x
    x = 61,949,218,816/169,384
  6. Step 6: Final answer
    x = 365,732.41

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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.