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Finding the Third Proportional to 208,094 and 311,571

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Solution

The third proportional to 208,094 and 311,571 is: 466,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,094 : 311,571 = 311,571 : x
  2. Step 2: Convert to fraction form
    208,094/311,571 = 311,571/x
  3. Step 3: Cross multiply
    208,094x = 311,571 × 311,571
  4. Step 4: Simplify right side
    208,094x = 97,076,488,041
  5. Step 5: Solve for x
    x = 97,076,488,041/208,094
  6. Step 6: Final answer
    x = 466,503.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.