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Finding the Third Proportional to 143,174 and 314,668

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Solution

The third proportional to 143,174 and 314,668 is: 691,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,174 : 314,668 = 314,668 : x
  2. Step 2: Convert to fraction form
    143,174/314,668 = 314,668/x
  3. Step 3: Cross multiply
    143,174x = 314,668 × 314,668
  4. Step 4: Simplify right side
    143,174x = 99,015,950,224
  5. Step 5: Solve for x
    x = 99,015,950,224/143,174
  6. Step 6: Final answer
    x = 691,577.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.