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Finding the Third Proportional to 219,103.50 and 460,344.75

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Solution

The third proportional to 219,103.50 and 460,344.75 is: 967,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,103.50 : 460,344.75 = 460,344.75 : x
  2. Step 2: Convert to fraction form
    219,103.50/460,344.75 = 460,344.75/x
  3. Step 3: Cross multiply
    219,103.50x = 460,344.75 × 460,344.75
  4. Step 4: Simplify right side
    219,103.50x = 211,917,288,852.56
  5. Step 5: Solve for x
    x = 211,917,288,852.56/219,103.50
  6. Step 6: Final answer
    x = 967,201.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.