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Finding the Third Proportional to 201,036 and 422,732

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Solution

The third proportional to 201,036 and 422,732 is: 888,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,036 : 422,732 = 422,732 : x
  2. Step 2: Convert to fraction form
    201,036/422,732 = 422,732/x
  3. Step 3: Cross multiply
    201,036x = 422,732 × 422,732
  4. Step 4: Simplify right side
    201,036x = 178,702,343,824
  5. Step 5: Solve for x
    x = 178,702,343,824/201,036
  6. Step 6: Final answer
    x = 888,907.18

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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.