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Finding the Third Proportional to 144,898 and 320,895

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Solution

The third proportional to 144,898 and 320,895 is: 710,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,898 : 320,895 = 320,895 : x
  2. Step 2: Convert to fraction form
    144,898/320,895 = 320,895/x
  3. Step 3: Cross multiply
    144,898x = 320,895 × 320,895
  4. Step 4: Simplify right side
    144,898x = 102,973,601,025
  5. Step 5: Solve for x
    x = 102,973,601,025/144,898
  6. Step 6: Final answer
    x = 710,662.68

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.