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Finding the Third Proportional to 170,993 and 263,213

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Solution

The third proportional to 170,993 and 263,213 is: 405,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,993 : 263,213 = 263,213 : x
  2. Step 2: Convert to fraction form
    170,993/263,213 = 263,213/x
  3. Step 3: Cross multiply
    170,993x = 263,213 × 263,213
  4. Step 4: Simplify right side
    170,993x = 69,281,083,369
  5. Step 5: Solve for x
    x = 69,281,083,369/170,993
  6. Step 6: Final answer
    x = 405,169.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.