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Finding the Third Proportional to 201,469.50 and 441,690

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Solution

The third proportional to 201,469.50 and 441,690 is: 968,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469.50 : 441,690 = 441,690 : x
  2. Step 2: Convert to fraction form
    201,469.50/441,690 = 441,690/x
  3. Step 3: Cross multiply
    201,469.50x = 441,690 × 441,690
  4. Step 4: Simplify right side
    201,469.50x = 195,090,056,100
  5. Step 5: Solve for x
    x = 195,090,056,100/201,469.50
  6. Step 6: Final answer
    x = 968,335.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.