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Finding the Third Proportional to 171,920 and 369,236

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Solution

The third proportional to 171,920 and 369,236 is: 793,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,920 : 369,236 = 369,236 : x
  2. Step 2: Convert to fraction form
    171,920/369,236 = 369,236/x
  3. Step 3: Cross multiply
    171,920x = 369,236 × 369,236
  4. Step 4: Simplify right side
    171,920x = 136,335,223,696
  5. Step 5: Solve for x
    x = 136,335,223,696/171,920
  6. Step 6: Final answer
    x = 793,015.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.