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Finding the Third Proportional to 194,821.45 and 299,257.03

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Solution

The third proportional to 194,821.45 and 299,257.03 is: 459,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,821.45 : 299,257.03 = 299,257.03 : x
  2. Step 2: Convert to fraction form
    194,821.45/299,257.03 = 299,257.03/x
  3. Step 3: Cross multiply
    194,821.45x = 299,257.03 × 299,257.03
  4. Step 4: Simplify right side
    194,821.45x = 89,554,770,752.56
  5. Step 5: Solve for x
    x = 89,554,770,752.56/194,821.45
  6. Step 6: Final answer
    x = 459,676.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.