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Finding the Third Proportional to 169,388 and 334,524

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Solution

The third proportional to 169,388 and 334,524 is: 660,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,388 : 334,524 = 334,524 : x
  2. Step 2: Convert to fraction form
    169,388/334,524 = 334,524/x
  3. Step 3: Cross multiply
    169,388x = 334,524 × 334,524
  4. Step 4: Simplify right side
    169,388x = 111,906,306,576
  5. Step 5: Solve for x
    x = 111,906,306,576/169,388
  6. Step 6: Final answer
    x = 660,650.73

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.