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Finding the Third Proportional to 226,279.50 and 334,138.50

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Solution

The third proportional to 226,279.50 and 334,138.50 is: 493,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,279.50 : 334,138.50 = 334,138.50 : x
  2. Step 2: Convert to fraction form
    226,279.50/334,138.50 = 334,138.50/x
  3. Step 3: Cross multiply
    226,279.50x = 334,138.50 × 334,138.50
  4. Step 4: Simplify right side
    226,279.50x = 111,648,537,182.25
  5. Step 5: Solve for x
    x = 111,648,537,182.25/226,279.50
  6. Step 6: Final answer
    x = 493,409.86

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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.