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Finding the Third Proportional to 171,168 and 354,324

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Solution

The third proportional to 171,168 and 354,324 is: 733,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,168 : 354,324 = 354,324 : x
  2. Step 2: Convert to fraction form
    171,168/354,324 = 354,324/x
  3. Step 3: Cross multiply
    171,168x = 354,324 × 354,324
  4. Step 4: Simplify right side
    171,168x = 125,545,496,976
  5. Step 5: Solve for x
    x = 125,545,496,976/171,168
  6. Step 6: Final answer
    x = 733,463.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.