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Finding the Third Proportional to 208,185 and 447,945

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Solution

The third proportional to 208,185 and 447,945 is: 963,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,185 : 447,945 = 447,945 : x
  2. Step 2: Convert to fraction form
    208,185/447,945 = 447,945/x
  3. Step 3: Cross multiply
    208,185x = 447,945 × 447,945
  4. Step 4: Simplify right side
    208,185x = 200,654,723,025
  5. Step 5: Solve for x
    x = 200,654,723,025/208,185
  6. Step 6: Final answer
    x = 963,828.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.