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Finding the Third Proportional to 104,243 and 227,602

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Solution

The third proportional to 104,243 and 227,602 is: 496,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,243 : 227,602 = 227,602 : x
  2. Step 2: Convert to fraction form
    104,243/227,602 = 227,602/x
  3. Step 3: Cross multiply
    104,243x = 227,602 × 227,602
  4. Step 4: Simplify right side
    104,243x = 51,802,670,404
  5. Step 5: Solve for x
    x = 51,802,670,404/104,243
  6. Step 6: Final answer
    x = 496,941.48

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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.