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Finding the Third Proportional to 144,051 and 227,916

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Solution

The third proportional to 144,051 and 227,916 is: 360,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,051 : 227,916 = 227,916 : x
  2. Step 2: Convert to fraction form
    144,051/227,916 = 227,916/x
  3. Step 3: Cross multiply
    144,051x = 227,916 × 227,916
  4. Step 4: Simplify right side
    144,051x = 51,945,703,056
  5. Step 5: Solve for x
    x = 51,945,703,056/144,051
  6. Step 6: Final answer
    x = 360,606.33

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.