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Finding the Third Proportional to 149,716.13 and 226,130.63

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Solution

The third proportional to 149,716.13 and 226,130.63 is: 341,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,716.13 : 226,130.63 = 226,130.63 : x
  2. Step 2: Convert to fraction form
    149,716.13/226,130.63 = 226,130.63/x
  3. Step 3: Cross multiply
    149,716.13x = 226,130.63 × 226,130.63
  4. Step 4: Simplify right side
    149,716.13x = 51,135,059,562.89
  5. Step 5: Solve for x
    x = 51,135,059,562.89/149,716.13
  6. Step 6: Final answer
    x = 341,546.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.