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Finding the Third Proportional to 128,271.75 and 197,328.75

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Solution

The third proportional to 128,271.75 and 197,328.75 is: 303,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,271.75 : 197,328.75 = 197,328.75 : x
  2. Step 2: Convert to fraction form
    128,271.75/197,328.75 = 197,328.75/x
  3. Step 3: Cross multiply
    128,271.75x = 197,328.75 × 197,328.75
  4. Step 4: Simplify right side
    128,271.75x = 38,938,635,576.56
  5. Step 5: Solve for x
    x = 38,938,635,576.56/128,271.75
  6. Step 6: Final answer
    x = 303,563.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.