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Finding the Third Proportional to 204,256 and 299,515

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Solution

The third proportional to 204,256 and 299,515 is: 439,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,256 : 299,515 = 299,515 : x
  2. Step 2: Convert to fraction form
    204,256/299,515 = 299,515/x
  3. Step 3: Cross multiply
    204,256x = 299,515 × 299,515
  4. Step 4: Simplify right side
    204,256x = 89,709,235,225
  5. Step 5: Solve for x
    x = 89,709,235,225/204,256
  6. Step 6: Final answer
    x = 439,200.00

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Why These Related Problems?

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