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Finding the Third Proportional to 154,828.38 and 226,268.38

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Solution

The third proportional to 154,828.38 and 226,268.38 is: 330,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,828.38 : 226,268.38 = 226,268.38 : x
  2. Step 2: Convert to fraction form
    154,828.38/226,268.38 = 226,268.38/x
  3. Step 3: Cross multiply
    154,828.38x = 226,268.38 × 226,268.38
  4. Step 4: Simplify right side
    154,828.38x = 51,197,377,525.14
  5. Step 5: Solve for x
    x = 51,197,377,525.14/154,828.38
  6. Step 6: Final answer
    x = 330,671.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.