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Finding the Third Proportional to 165,726 and 259,249

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Solution

The third proportional to 165,726 and 259,249 is: 405,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,726 : 259,249 = 259,249 : x
  2. Step 2: Convert to fraction form
    165,726/259,249 = 259,249/x
  3. Step 3: Cross multiply
    165,726x = 259,249 × 259,249
  4. Step 4: Simplify right side
    165,726x = 67,210,044,001
  5. Step 5: Solve for x
    x = 67,210,044,001/165,726
  6. Step 6: Final answer
    x = 405,549.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.