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Finding the Third Proportional to 171,236 and 366,236

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Solution

The third proportional to 171,236 and 366,236 is: 783,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,236 : 366,236 = 366,236 : x
  2. Step 2: Convert to fraction form
    171,236/366,236 = 366,236/x
  3. Step 3: Cross multiply
    171,236x = 366,236 × 366,236
  4. Step 4: Simplify right side
    171,236x = 134,128,807,696
  5. Step 5: Solve for x
    x = 134,128,807,696/171,236
  6. Step 6: Final answer
    x = 783,297.95

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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.