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Finding the Third Proportional to 194,218 and 305,183

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Solution

The third proportional to 194,218 and 305,183 is: 479,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,218 : 305,183 = 305,183 : x
  2. Step 2: Convert to fraction form
    194,218/305,183 = 305,183/x
  3. Step 3: Cross multiply
    194,218x = 305,183 × 305,183
  4. Step 4: Simplify right side
    194,218x = 93,136,663,489
  5. Step 5: Solve for x
    x = 93,136,663,489/194,218
  6. Step 6: Final answer
    x = 479,547.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.