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Finding the Third Proportional to 150,517 and 326,945

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Solution

The third proportional to 150,517 and 326,945 is: 710,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,517 : 326,945 = 326,945 : x
  2. Step 2: Convert to fraction form
    150,517/326,945 = 326,945/x
  3. Step 3: Cross multiply
    150,517x = 326,945 × 326,945
  4. Step 4: Simplify right side
    150,517x = 106,893,033,025
  5. Step 5: Solve for x
    x = 106,893,033,025/150,517
  6. Step 6: Final answer
    x = 710,172.49

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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.