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Finding the Third Proportional to 200,418.75 and 299,655

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Solution

The third proportional to 200,418.75 and 299,655 is: 448,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,418.75 : 299,655 = 299,655 : x
  2. Step 2: Convert to fraction form
    200,418.75/299,655 = 299,655/x
  3. Step 3: Cross multiply
    200,418.75x = 299,655 × 299,655
  4. Step 4: Simplify right side
    200,418.75x = 89,793,119,025
  5. Step 5: Solve for x
    x = 89,793,119,025/200,418.75
  6. Step 6: Final answer
    x = 448,027.54

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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.