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Finding the Third Proportional to 143,022 and 310,647

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Solution

The third proportional to 143,022 and 310,647 is: 674,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,022 : 310,647 = 310,647 : x
  2. Step 2: Convert to fraction form
    143,022/310,647 = 310,647/x
  3. Step 3: Cross multiply
    143,022x = 310,647 × 310,647
  4. Step 4: Simplify right side
    143,022x = 96,501,558,609
  5. Step 5: Solve for x
    x = 96,501,558,609/143,022
  6. Step 6: Final answer
    x = 674,732.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.