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Finding the Third Proportional to 204,032 and 306,048

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Solution

The third proportional to 204,032 and 306,048 is: 459,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032 : 306,048 = 306,048 : x
  2. Step 2: Convert to fraction form
    204,032/306,048 = 306,048/x
  3. Step 3: Cross multiply
    204,032x = 306,048 × 306,048
  4. Step 4: Simplify right side
    204,032x = 93,665,378,304
  5. Step 5: Solve for x
    x = 93,665,378,304/204,032
  6. Step 6: Final answer
    x = 459,072

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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.