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Finding the Third Proportional to 226,741.50 and 334,923

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Solution

The third proportional to 226,741.50 and 334,923 is: 494,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741.50 : 334,923 = 334,923 : x
  2. Step 2: Convert to fraction form
    226,741.50/334,923 = 334,923/x
  3. Step 3: Cross multiply
    226,741.50x = 334,923 × 334,923
  4. Step 4: Simplify right side
    226,741.50x = 112,173,415,929
  5. Step 5: Solve for x
    x = 112,173,415,929/226,741.50
  6. Step 6: Final answer
    x = 494,719.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.