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Finding the Third Proportional to 208,111 and 448,616

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Solution

The third proportional to 208,111 and 448,616 is: 967,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,111 : 448,616 = 448,616 : x
  2. Step 2: Convert to fraction form
    208,111/448,616 = 448,616/x
  3. Step 3: Cross multiply
    208,111x = 448,616 × 448,616
  4. Step 4: Simplify right side
    208,111x = 201,256,315,456
  5. Step 5: Solve for x
    x = 201,256,315,456/208,111
  6. Step 6: Final answer
    x = 967,062.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.