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Finding the Third Proportional to 171,998 and 259,006

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Solution

The third proportional to 171,998 and 259,006 is: 390,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,998 : 259,006 = 259,006 : x
  2. Step 2: Convert to fraction form
    171,998/259,006 = 259,006/x
  3. Step 3: Cross multiply
    171,998x = 259,006 × 259,006
  4. Step 4: Simplify right side
    171,998x = 67,084,108,036
  5. Step 5: Solve for x
    x = 67,084,108,036/171,998
  6. Step 6: Final answer
    x = 390,028.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.