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Finding the Third Proportional to 208,135 and 447,891

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Solution

The third proportional to 208,135 and 447,891 is: 963,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135 : 447,891 = 447,891 : x
  2. Step 2: Convert to fraction form
    208,135/447,891 = 447,891/x
  3. Step 3: Cross multiply
    208,135x = 447,891 × 447,891
  4. Step 4: Simplify right side
    208,135x = 200,606,347,881
  5. Step 5: Solve for x
    x = 200,606,347,881/208,135
  6. Step 6: Final answer
    x = 963,828.03

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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.