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Finding the Third Proportional to 214,623.42 and 332,173.83

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Solution

The third proportional to 214,623.42 and 332,173.83 is: 514,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,623.42 : 332,173.83 = 332,173.83 : x
  2. Step 2: Convert to fraction form
    214,623.42/332,173.83 = 332,173.83/x
  3. Step 3: Cross multiply
    214,623.42x = 332,173.83 × 332,173.83
  4. Step 4: Simplify right side
    214,623.42x = 110,339,452,091.22
  5. Step 5: Solve for x
    x = 110,339,452,091.22/214,623.42
  6. Step 6: Final answer
    x = 514,107.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.