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Finding the Third Proportional to 114,766.03 and 269,947.69

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Solution

The third proportional to 114,766.03 and 269,947.69 is: 634,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,766.03 : 269,947.69 = 269,947.69 : x
  2. Step 2: Convert to fraction form
    114,766.03/269,947.69 = 269,947.69/x
  3. Step 3: Cross multiply
    114,766.03x = 269,947.69 × 269,947.69
  4. Step 4: Simplify right side
    114,766.03x = 72,871,753,986.60
  5. Step 5: Solve for x
    x = 72,871,753,986.60/114,766.03
  6. Step 6: Final answer
    x = 634,959.26

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.