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Finding the Third Proportional to 165,701 and 259,213

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Solution

The third proportional to 165,701 and 259,213 is: 405,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,701 : 259,213 = 259,213 : x
  2. Step 2: Convert to fraction form
    165,701/259,213 = 259,213/x
  3. Step 3: Cross multiply
    165,701x = 259,213 × 259,213
  4. Step 4: Simplify right side
    165,701x = 67,191,379,369
  5. Step 5: Solve for x
    x = 67,191,379,369/165,701
  6. Step 6: Final answer
    x = 405,497.73

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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.