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Finding the Third Proportional to 104,360 and 223,477

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Solution

The third proportional to 104,360 and 223,477 is: 478,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,360 : 223,477 = 223,477 : x
  2. Step 2: Convert to fraction form
    104,360/223,477 = 223,477/x
  3. Step 3: Cross multiply
    104,360x = 223,477 × 223,477
  4. Step 4: Simplify right side
    104,360x = 49,941,969,529
  5. Step 5: Solve for x
    x = 49,941,969,529/104,360
  6. Step 6: Final answer
    x = 478,554.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.