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Finding the Third Proportional to 223,094 and 327,201

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Solution

The third proportional to 223,094 and 327,201 is: 479,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,094 : 327,201 = 327,201 : x
  2. Step 2: Convert to fraction form
    223,094/327,201 = 327,201/x
  3. Step 3: Cross multiply
    223,094x = 327,201 × 327,201
  4. Step 4: Simplify right side
    223,094x = 107,060,494,401
  5. Step 5: Solve for x
    x = 107,060,494,401/223,094
  6. Step 6: Final answer
    x = 479,889.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.