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Finding the Third Proportional to 207,633 and 311,446.50

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Solution

The third proportional to 207,633 and 311,446.50 is: 467,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,633 : 311,446.50 = 311,446.50 : x
  2. Step 2: Convert to fraction form
    207,633/311,446.50 = 311,446.50/x
  3. Step 3: Cross multiply
    207,633x = 311,446.50 × 311,446.50
  4. Step 4: Simplify right side
    207,633x = 96,998,922,362.25
  5. Step 5: Solve for x
    x = 96,998,922,362.25/207,633
  6. Step 6: Final answer
    x = 467,165.25

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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.