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Finding the Third Proportional to 104,800 and 227,323

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Solution

The third proportional to 104,800 and 227,323 is: 493,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,800 : 227,323 = 227,323 : x
  2. Step 2: Convert to fraction form
    104,800/227,323 = 227,323/x
  3. Step 3: Cross multiply
    104,800x = 227,323 × 227,323
  4. Step 4: Simplify right side
    104,800x = 51,675,746,329
  5. Step 5: Solve for x
    x = 51,675,746,329/104,800
  6. Step 6: Final answer
    x = 493,089.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.