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Finding the Third Proportional to 119,850.75 and 266,305.50

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Solution

The third proportional to 119,850.75 and 266,305.50 is: 591,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,850.75 : 266,305.50 = 266,305.50 : x
  2. Step 2: Convert to fraction form
    119,850.75/266,305.50 = 266,305.50/x
  3. Step 3: Cross multiply
    119,850.75x = 266,305.50 × 266,305.50
  4. Step 4: Simplify right side
    119,850.75x = 70,918,619,330.25
  5. Step 5: Solve for x
    x = 70,918,619,330.25/119,850.75
  6. Step 6: Final answer
    x = 591,724.45

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.