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Finding the Third Proportional to 154,198.50 and 224,734.50

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Solution

The third proportional to 154,198.50 and 224,734.50 is: 327,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,198.50 : 224,734.50 = 224,734.50 : x
  2. Step 2: Convert to fraction form
    154,198.50/224,734.50 = 224,734.50/x
  3. Step 3: Cross multiply
    154,198.50x = 224,734.50 × 224,734.50
  4. Step 4: Simplify right side
    154,198.50x = 50,505,595,490.25
  5. Step 5: Solve for x
    x = 50,505,595,490.25/154,198.50
  6. Step 6: Final answer
    x = 327,536.23

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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.