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Finding the Third Proportional to 206,984.25 and 311,501.63

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Solution

The third proportional to 206,984.25 and 311,501.63 is: 468,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,984.25 : 311,501.63 = 311,501.63 : x
  2. Step 2: Convert to fraction form
    206,984.25/311,501.63 = 311,501.63/x
  3. Step 3: Cross multiply
    206,984.25x = 311,501.63 × 311,501.63
  4. Step 4: Simplify right side
    206,984.25x = 97,033,262,377.64
  5. Step 5: Solve for x
    x = 97,033,262,377.64/206,984.25
  6. Step 6: Final answer
    x = 468,795.39

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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.