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Finding the Third Proportional to 222,540 and 341,586

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Solution

The third proportional to 222,540 and 341,586 is: 524,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540 : 341,586 = 341,586 : x
  2. Step 2: Convert to fraction form
    222,540/341,586 = 341,586/x
  3. Step 3: Cross multiply
    222,540x = 341,586 × 341,586
  4. Step 4: Simplify right side
    222,540x = 116,680,995,396
  5. Step 5: Solve for x
    x = 116,680,995,396/222,540
  6. Step 6: Final answer
    x = 524,314.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.