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Finding the Third Proportional to 149,717.25 and 226,135.13

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Solution

The third proportional to 149,717.25 and 226,135.13 is: 341,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,717.25 : 226,135.13 = 226,135.13 : x
  2. Step 2: Convert to fraction form
    149,717.25/226,135.13 = 226,135.13/x
  3. Step 3: Cross multiply
    149,717.25x = 226,135.13 × 226,135.13
  4. Step 4: Simplify right side
    149,717.25x = 51,137,094,758.77
  5. Step 5: Solve for x
    x = 51,137,094,758.77/149,717.25
  6. Step 6: Final answer
    x = 341,557.80

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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.