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Finding the Third Proportional to 300,193.50 and 422,210.25

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Solution

The third proportional to 300,193.50 and 422,210.25 is: 593,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,193.50 : 422,210.25 = 422,210.25 : x
  2. Step 2: Convert to fraction form
    300,193.50/422,210.25 = 422,210.25/x
  3. Step 3: Cross multiply
    300,193.50x = 422,210.25 × 422,210.25
  4. Step 4: Simplify right side
    300,193.50x = 178,261,495,205.06
  5. Step 5: Solve for x
    x = 178,261,495,205.06/300,193.50
  6. Step 6: Final answer
    x = 593,821.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.