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Finding the Third Proportional to 104,491 and 229,012

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Solution

The third proportional to 104,491 and 229,012 is: 501,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,491 : 229,012 = 229,012 : x
  2. Step 2: Convert to fraction form
    104,491/229,012 = 229,012/x
  3. Step 3: Cross multiply
    104,491x = 229,012 × 229,012
  4. Step 4: Simplify right side
    104,491x = 52,446,496,144
  5. Step 5: Solve for x
    x = 52,446,496,144/104,491
  6. Step 6: Final answer
    x = 501,923.57

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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.