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Finding the Third Proportional to 204,143.63 and 306,419.63

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Solution

The third proportional to 204,143.63 and 306,419.63 is: 459,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,143.63 : 306,419.63 = 306,419.63 : x
  2. Step 2: Convert to fraction form
    204,143.63/306,419.63 = 306,419.63/x
  3. Step 3: Cross multiply
    204,143.63x = 306,419.63 × 306,419.63
  4. Step 4: Simplify right side
    204,143.63x = 93,892,986,585.14
  5. Step 5: Solve for x
    x = 93,892,986,585.14/204,143.63
  6. Step 6: Final answer
    x = 459,935.92

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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.