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Finding the Third Proportional to 222,174 and 317,487

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Solution

The third proportional to 222,174 and 317,487 is: 453,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,174 : 317,487 = 317,487 : x
  2. Step 2: Convert to fraction form
    222,174/317,487 = 317,487/x
  3. Step 3: Cross multiply
    222,174x = 317,487 × 317,487
  4. Step 4: Simplify right side
    222,174x = 100,797,995,169
  5. Step 5: Solve for x
    x = 100,797,995,169/222,174
  6. Step 6: Final answer
    x = 453,689.43

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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.