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Finding the Third Proportional to 104,078 and 227,416

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Solution

The third proportional to 104,078 and 227,416 is: 496,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,078 : 227,416 = 227,416 : x
  2. Step 2: Convert to fraction form
    104,078/227,416 = 227,416/x
  3. Step 3: Cross multiply
    104,078x = 227,416 × 227,416
  4. Step 4: Simplify right side
    104,078x = 51,718,037,056
  5. Step 5: Solve for x
    x = 51,718,037,056/104,078
  6. Step 6: Final answer
    x = 496,916.13

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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.