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Finding the Third Proportional to 182,112 and 285,046.50

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Solution

The third proportional to 182,112 and 285,046.50 is: 446,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,112 : 285,046.50 = 285,046.50 : x
  2. Step 2: Convert to fraction form
    182,112/285,046.50 = 285,046.50/x
  3. Step 3: Cross multiply
    182,112x = 285,046.50 × 285,046.50
  4. Step 4: Simplify right side
    182,112x = 81,251,507,162.25
  5. Step 5: Solve for x
    x = 81,251,507,162.25/182,112
  6. Step 6: Final answer
    x = 446,162.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.