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Finding the Third Proportional to 165,724 and 259,246

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Solution

The third proportional to 165,724 and 259,246 is: 405,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,724 : 259,246 = 259,246 : x
  2. Step 2: Convert to fraction form
    165,724/259,246 = 259,246/x
  3. Step 3: Cross multiply
    165,724x = 259,246 × 259,246
  4. Step 4: Simplify right side
    165,724x = 67,208,488,516
  5. Step 5: Solve for x
    x = 67,208,488,516/165,724
  6. Step 6: Final answer
    x = 405,544.69

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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.