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Finding the Third Proportional to 194,741.72 and 308,105.44

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Solution

The third proportional to 194,741.72 and 308,105.44 is: 487,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,741.72 : 308,105.44 = 308,105.44 : x
  2. Step 2: Convert to fraction form
    194,741.72/308,105.44 = 308,105.44/x
  3. Step 3: Cross multiply
    194,741.72x = 308,105.44 × 308,105.44
  4. Step 4: Simplify right side
    194,741.72x = 94,928,960,617.07
  5. Step 5: Solve for x
    x = 94,928,960,617.07/194,741.72
  6. Step 6: Final answer
    x = 487,460.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.