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Finding the Third Proportional to 207,024 and 311,573

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Solution

The third proportional to 207,024 and 311,573 is: 468,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,024 : 311,573 = 311,573 : x
  2. Step 2: Convert to fraction form
    207,024/311,573 = 311,573/x
  3. Step 3: Cross multiply
    207,024x = 311,573 × 311,573
  4. Step 4: Simplify right side
    207,024x = 97,077,734,329
  5. Step 5: Solve for x
    x = 97,077,734,329/207,024
  6. Step 6: Final answer
    x = 468,920.19

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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.