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Finding the Third Proportional to 183,313 and 384,147

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Solution

The third proportional to 183,313 and 384,147 is: 805,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,313 : 384,147 = 384,147 : x
  2. Step 2: Convert to fraction form
    183,313/384,147 = 384,147/x
  3. Step 3: Cross multiply
    183,313x = 384,147 × 384,147
  4. Step 4: Simplify right side
    183,313x = 147,568,917,609
  5. Step 5: Solve for x
    x = 147,568,917,609/183,313
  6. Step 6: Final answer
    x = 805,010.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.