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Finding the Third Proportional to 201,800 and 442,962

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Solution

The third proportional to 201,800 and 442,962 is: 972,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,800 : 442,962 = 442,962 : x
  2. Step 2: Convert to fraction form
    201,800/442,962 = 442,962/x
  3. Step 3: Cross multiply
    201,800x = 442,962 × 442,962
  4. Step 4: Simplify right side
    201,800x = 196,215,333,444
  5. Step 5: Solve for x
    x = 196,215,333,444/201,800
  6. Step 6: Final answer
    x = 972,325.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.