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Finding the Third Proportional to 227,936 and 353,848

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Solution

The third proportional to 227,936 and 353,848 is: 549,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,936 : 353,848 = 353,848 : x
  2. Step 2: Convert to fraction form
    227,936/353,848 = 353,848/x
  3. Step 3: Cross multiply
    227,936x = 353,848 × 353,848
  4. Step 4: Simplify right side
    227,936x = 125,208,407,104
  5. Step 5: Solve for x
    x = 125,208,407,104/227,936
  6. Step 6: Final answer
    x = 549,313.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.