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Finding the Third Proportional to 170,705 and 263,757

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Solution

The third proportional to 170,705 and 263,757 is: 407,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,705 : 263,757 = 263,757 : x
  2. Step 2: Convert to fraction form
    170,705/263,757 = 263,757/x
  3. Step 3: Cross multiply
    170,705x = 263,757 × 263,757
  4. Step 4: Simplify right side
    170,705x = 69,567,755,049
  5. Step 5: Solve for x
    x = 69,567,755,049/170,705
  6. Step 6: Final answer
    x = 407,532.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.