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Finding the Third Proportional to 124,352.40 and 266,447.60

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Solution

The third proportional to 124,352.40 and 266,447.60 is: 570,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,352.40 : 266,447.60 = 266,447.60 : x
  2. Step 2: Convert to fraction form
    124,352.40/266,447.60 = 266,447.60/x
  3. Step 3: Cross multiply
    124,352.40x = 266,447.60 × 266,447.60
  4. Step 4: Simplify right side
    124,352.40x = 70,994,324,378.41
  5. Step 5: Solve for x
    x = 70,994,324,378.41/124,352.40
  6. Step 6: Final answer
    x = 570,912.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.