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Finding the Third Proportional to 104,402 and 227,622

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Solution

The third proportional to 104,402 and 227,622 is: 496,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,402 : 227,622 = 227,622 : x
  2. Step 2: Convert to fraction form
    104,402/227,622 = 227,622/x
  3. Step 3: Cross multiply
    104,402x = 227,622 × 227,622
  4. Step 4: Simplify right side
    104,402x = 51,811,774,884
  5. Step 5: Solve for x
    x = 51,811,774,884/104,402
  6. Step 6: Final answer
    x = 496,271.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.