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Finding the Third Proportional to 174,802 and 263,065

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Solution

The third proportional to 174,802 and 263,065 is: 395,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,802 : 263,065 = 263,065 : x
  2. Step 2: Convert to fraction form
    174,802/263,065 = 263,065/x
  3. Step 3: Cross multiply
    174,802x = 263,065 × 263,065
  4. Step 4: Simplify right side
    174,802x = 69,203,194,225
  5. Step 5: Solve for x
    x = 69,203,194,225/174,802
  6. Step 6: Final answer
    x = 395,894.75

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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.