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Finding the Third Proportional to 182,275 and 284,928

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Solution

The third proportional to 182,275 and 284,928 is: 445,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,275 : 284,928 = 284,928 : x
  2. Step 2: Convert to fraction form
    182,275/284,928 = 284,928/x
  3. Step 3: Cross multiply
    182,275x = 284,928 × 284,928
  4. Step 4: Simplify right side
    182,275x = 81,183,965,184
  5. Step 5: Solve for x
    x = 81,183,965,184/182,275
  6. Step 6: Final answer
    x = 445,392.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.