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Finding the Third Proportional to 227,586 and 341,962

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Solution

The third proportional to 227,586 and 341,962 is: 513,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,586 : 341,962 = 341,962 : x
  2. Step 2: Convert to fraction form
    227,586/341,962 = 341,962/x
  3. Step 3: Cross multiply
    227,586x = 341,962 × 341,962
  4. Step 4: Simplify right side
    227,586x = 116,938,009,444
  5. Step 5: Solve for x
    x = 116,938,009,444/227,586
  6. Step 6: Final answer
    x = 513,818.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.