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Finding the Third Proportional to 116,199 and 163,629

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Solution

The third proportional to 116,199 and 163,629 is: 230,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,199 : 163,629 = 163,629 : x
  2. Step 2: Convert to fraction form
    116,199/163,629 = 163,629/x
  3. Step 3: Cross multiply
    116,199x = 163,629 × 163,629
  4. Step 4: Simplify right side
    116,199x = 26,774,449,641
  5. Step 5: Solve for x
    x = 26,774,449,641/116,199
  6. Step 6: Final answer
    x = 230,418.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.