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Finding the Third Proportional to 222,238 and 317,571

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Solution

The third proportional to 222,238 and 317,571 is: 453,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,238 : 317,571 = 317,571 : x
  2. Step 2: Convert to fraction form
    222,238/317,571 = 317,571/x
  3. Step 3: Cross multiply
    222,238x = 317,571 × 317,571
  4. Step 4: Simplify right side
    222,238x = 100,851,340,041
  5. Step 5: Solve for x
    x = 100,851,340,041/222,238
  6. Step 6: Final answer
    x = 453,798.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.