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Finding the Third Proportional to 169,772 and 262,044

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Solution

The third proportional to 169,772 and 262,044 is: 404,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,772 : 262,044 = 262,044 : x
  2. Step 2: Convert to fraction form
    169,772/262,044 = 262,044/x
  3. Step 3: Cross multiply
    169,772x = 262,044 × 262,044
  4. Step 4: Simplify right side
    169,772x = 68,667,057,936
  5. Step 5: Solve for x
    x = 68,667,057,936/169,772
  6. Step 6: Final answer
    x = 404,466.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.