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Finding the Third Proportional to 208,148 and 311,384

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Solution

The third proportional to 208,148 and 311,384 is: 465,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,148 : 311,384 = 311,384 : x
  2. Step 2: Convert to fraction form
    208,148/311,384 = 311,384/x
  3. Step 3: Cross multiply
    208,148x = 311,384 × 311,384
  4. Step 4: Simplify right side
    208,148x = 96,959,995,456
  5. Step 5: Solve for x
    x = 96,959,995,456/208,148
  6. Step 6: Final answer
    x = 465,822.37

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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.