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Finding the Third Proportional to 208,370 and 311,181

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Solution

The third proportional to 208,370 and 311,181 is: 464,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,370 : 311,181 = 311,181 : x
  2. Step 2: Convert to fraction form
    208,370/311,181 = 311,181/x
  3. Step 3: Cross multiply
    208,370x = 311,181 × 311,181
  4. Step 4: Simplify right side
    208,370x = 96,833,614,761
  5. Step 5: Solve for x
    x = 96,833,614,761/208,370
  6. Step 6: Final answer
    x = 464,719.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.