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Finding the Third Proportional to 182,283.75 and 273,417.75

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Solution

The third proportional to 182,283.75 and 273,417.75 is: 410,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,283.75 : 273,417.75 = 273,417.75 : x
  2. Step 2: Convert to fraction form
    182,283.75/273,417.75 = 273,417.75/x
  3. Step 3: Cross multiply
    182,283.75x = 273,417.75 × 273,417.75
  4. Step 4: Simplify right side
    182,283.75x = 74,757,266,015.06
  5. Step 5: Solve for x
    x = 74,757,266,015.06/182,283.75
  6. Step 6: Final answer
    x = 410,114.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.