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Finding the Third Proportional to 204,249 and 299,506.50

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Solution

The third proportional to 204,249 and 299,506.50 is: 439,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,249 : 299,506.50 = 299,506.50 : x
  2. Step 2: Convert to fraction form
    204,249/299,506.50 = 299,506.50/x
  3. Step 3: Cross multiply
    204,249x = 299,506.50 × 299,506.50
  4. Step 4: Simplify right side
    204,249x = 89,704,143,542.25
  5. Step 5: Solve for x
    x = 89,704,143,542.25/204,249
  6. Step 6: Final answer
    x = 439,190.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.