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Finding the Third Proportional to 105,041 and 230,491

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Solution

The third proportional to 105,041 and 230,491 is: 505,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,041 : 230,491 = 230,491 : x
  2. Step 2: Convert to fraction form
    105,041/230,491 = 230,491/x
  3. Step 3: Cross multiply
    105,041x = 230,491 × 230,491
  4. Step 4: Simplify right side
    105,041x = 53,126,101,081
  5. Step 5: Solve for x
    x = 53,126,101,081/105,041
  6. Step 6: Final answer
    x = 505,765.38

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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.