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Finding the Third Proportional to 203,576.25 and 299,282.63

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Solution

The third proportional to 203,576.25 and 299,282.63 is: 439,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,576.25 : 299,282.63 = 299,282.63 : x
  2. Step 2: Convert to fraction form
    203,576.25/299,282.63 = 299,282.63/x
  3. Step 3: Cross multiply
    203,576.25x = 299,282.63 × 299,282.63
  4. Step 4: Simplify right side
    203,576.25x = 89,570,089,626.89
  5. Step 5: Solve for x
    x = 89,570,089,626.89/203,576.25
  6. Step 6: Final answer
    x = 439,983.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.