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Finding the Third Proportional to 172,556 and 369,104

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Solution

The third proportional to 172,556 and 369,104 is: 789,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,556 : 369,104 = 369,104 : x
  2. Step 2: Convert to fraction form
    172,556/369,104 = 369,104/x
  3. Step 3: Cross multiply
    172,556x = 369,104 × 369,104
  4. Step 4: Simplify right side
    172,556x = 136,237,762,816
  5. Step 5: Solve for x
    x = 136,237,762,816/172,556
  6. Step 6: Final answer
    x = 789,527.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.