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Finding the Third Proportional to 163,589 and 352,954

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Solution

The third proportional to 163,589 and 352,954 is: 761,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,589 : 352,954 = 352,954 : x
  2. Step 2: Convert to fraction form
    163,589/352,954 = 352,954/x
  3. Step 3: Cross multiply
    163,589x = 352,954 × 352,954
  4. Step 4: Simplify right side
    163,589x = 124,576,526,116
  5. Step 5: Solve for x
    x = 124,576,526,116/163,589
  6. Step 6: Final answer
    x = 761,521.41

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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.