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Finding the Third Proportional to 133,735.50 and 198,393.75

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Solution

The third proportional to 133,735.50 and 198,393.75 is: 294,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,735.50 : 198,393.75 = 198,393.75 : x
  2. Step 2: Convert to fraction form
    133,735.50/198,393.75 = 198,393.75/x
  3. Step 3: Cross multiply
    133,735.50x = 198,393.75 × 198,393.75
  4. Step 4: Simplify right side
    133,735.50x = 39,360,080,039.06
  5. Step 5: Solve for x
    x = 39,360,080,039.06/133,735.50
  6. Step 6: Final answer
    x = 294,312.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.