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Finding the Third Proportional to 174,770 and 263,019

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Solution

The third proportional to 174,770 and 263,019 is: 395,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,770 : 263,019 = 263,019 : x
  2. Step 2: Convert to fraction form
    174,770/263,019 = 263,019/x
  3. Step 3: Cross multiply
    174,770x = 263,019 × 263,019
  4. Step 4: Simplify right side
    174,770x = 69,178,994,361
  5. Step 5: Solve for x
    x = 69,178,994,361/174,770
  6. Step 6: Final answer
    x = 395,828.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.