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Finding the Third Proportional to 204,354.56 and 306,600.19

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Solution

The third proportional to 204,354.56 and 306,600.19 is: 460,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,354.56 : 306,600.19 = 306,600.19 : x
  2. Step 2: Convert to fraction form
    204,354.56/306,600.19 = 306,600.19/x
  3. Step 3: Cross multiply
    204,354.56x = 306,600.19 × 306,600.19
  4. Step 4: Simplify right side
    204,354.56x = 94,003,674,975.04
  5. Step 5: Solve for x
    x = 94,003,674,975.04/204,354.56
  6. Step 6: Final answer
    x = 460,002.82

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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.