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Finding the Third Proportional to 144,993 and 318,355

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Solution

The third proportional to 144,993 and 318,355 is: 698,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993 : 318,355 = 318,355 : x
  2. Step 2: Convert to fraction form
    144,993/318,355 = 318,355/x
  3. Step 3: Cross multiply
    144,993x = 318,355 × 318,355
  4. Step 4: Simplify right side
    144,993x = 101,349,906,025
  5. Step 5: Solve for x
    x = 101,349,906,025/144,993
  6. Step 6: Final answer
    x = 698,998.61

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