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Finding the Third Proportional to 165,713 and 259,233

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Solution

The third proportional to 165,713 and 259,233 is: 405,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,713 : 259,233 = 259,233 : x
  2. Step 2: Convert to fraction form
    165,713/259,233 = 259,233/x
  3. Step 3: Cross multiply
    165,713x = 259,233 × 259,233
  4. Step 4: Simplify right side
    165,713x = 67,201,748,289
  5. Step 5: Solve for x
    x = 67,201,748,289/165,713
  6. Step 6: Final answer
    x = 405,530.94

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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.