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Finding the Third Proportional to 201,039.50 and 442,059.50

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Solution

The third proportional to 201,039.50 and 442,059.50 is: 972,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,039.50 : 442,059.50 = 442,059.50 : x
  2. Step 2: Convert to fraction form
    201,039.50/442,059.50 = 442,059.50/x
  3. Step 3: Cross multiply
    201,039.50x = 442,059.50 × 442,059.50
  4. Step 4: Simplify right side
    201,039.50x = 195,416,601,540.25
  5. Step 5: Solve for x
    x = 195,416,601,540.25/201,039.50
  6. Step 6: Final answer
    x = 972,030.88

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