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Finding the Third Proportional to 104,044.50 and 227,351

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Solution

The third proportional to 104,044.50 and 227,351 is: 496,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,044.50 : 227,351 = 227,351 : x
  2. Step 2: Convert to fraction form
    104,044.50/227,351 = 227,351/x
  3. Step 3: Cross multiply
    104,044.50x = 227,351 × 227,351
  4. Step 4: Simplify right side
    104,044.50x = 51,688,477,201
  5. Step 5: Solve for x
    x = 51,688,477,201/104,044.50
  6. Step 6: Final answer
    x = 496,792.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.