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Finding the Third Proportional to 207,022 and 311,570

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Solution

The third proportional to 207,022 and 311,570 is: 468,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,022 : 311,570 = 311,570 : x
  2. Step 2: Convert to fraction form
    207,022/311,570 = 311,570/x
  3. Step 3: Cross multiply
    207,022x = 311,570 × 311,570
  4. Step 4: Simplify right side
    207,022x = 97,075,864,900
  5. Step 5: Solve for x
    x = 97,075,864,900/207,022
  6. Step 6: Final answer
    x = 468,915.69

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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.