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Finding the Third Proportional to 169,326 and 248,928

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Solution

The third proportional to 169,326 and 248,928 is: 365,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,326 : 248,928 = 248,928 : x
  2. Step 2: Convert to fraction form
    169,326/248,928 = 248,928/x
  3. Step 3: Cross multiply
    169,326x = 248,928 × 248,928
  4. Step 4: Simplify right side
    169,326x = 61,965,149,184
  5. Step 5: Solve for x
    x = 61,965,149,184/169,326
  6. Step 6: Final answer
    x = 365,951.77

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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.