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Finding the Third Proportional to 200,801.53 and 422,311.22

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Solution

The third proportional to 200,801.53 and 422,311.22 is: 888,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,801.53 : 422,311.22 = 422,311.22 : x
  2. Step 2: Convert to fraction form
    200,801.53/422,311.22 = 422,311.22/x
  3. Step 3: Cross multiply
    200,801.53x = 422,311.22 × 422,311.22
  4. Step 4: Simplify right side
    200,801.53x = 178,346,765,482.11
  5. Step 5: Solve for x
    x = 178,346,765,482.11/200,801.53
  6. Step 6: Final answer
    x = 888,174.33

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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.