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Finding the Third Proportional to 207,024.50 and 311,573.25

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Solution

The third proportional to 207,024.50 and 311,573.25 is: 468,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,024.50 : 311,573.25 = 311,573.25 : x
  2. Step 2: Convert to fraction form
    207,024.50/311,573.25 = 311,573.25/x
  3. Step 3: Cross multiply
    207,024.50x = 311,573.25 × 311,573.25
  4. Step 4: Simplify right side
    207,024.50x = 97,077,890,115.56
  5. Step 5: Solve for x
    x = 97,077,890,115.56/207,024.50
  6. Step 6: Final answer
    x = 468,919.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.