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Finding the Third Proportional to 222,165 and 317,475

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Solution

The third proportional to 222,165 and 317,475 is: 453,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,165 : 317,475 = 317,475 : x
  2. Step 2: Convert to fraction form
    222,165/317,475 = 317,475/x
  3. Step 3: Cross multiply
    222,165x = 317,475 × 317,475
  4. Step 4: Simplify right side
    222,165x = 100,790,375,625
  5. Step 5: Solve for x
    x = 100,790,375,625/222,165
  6. Step 6: Final answer
    x = 453,673.51

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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.