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Finding the Third Proportional to 182,455.25 and 290,546.75

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Solution

The third proportional to 182,455.25 and 290,546.75 is: 462,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,455.25 : 290,546.75 = 290,546.75 : x
  2. Step 2: Convert to fraction form
    182,455.25/290,546.75 = 290,546.75/x
  3. Step 3: Cross multiply
    182,455.25x = 290,546.75 × 290,546.75
  4. Step 4: Simplify right side
    182,455.25x = 84,417,413,935.56
  5. Step 5: Solve for x
    x = 84,417,413,935.56/182,455.25
  6. Step 6: Final answer
    x = 462,674.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.