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Finding the Third Proportional to 150,138 and 326,236

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Solution

The third proportional to 150,138 and 326,236 is: 708,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138 : 326,236 = 326,236 : x
  2. Step 2: Convert to fraction form
    150,138/326,236 = 326,236/x
  3. Step 3: Cross multiply
    150,138x = 326,236 × 326,236
  4. Step 4: Simplify right side
    150,138x = 106,429,927,696
  5. Step 5: Solve for x
    x = 106,429,927,696/150,138
  6. Step 6: Final answer
    x = 708,880.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.