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Finding the Third Proportional to 163,662.75 and 353,135.25

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Solution

The third proportional to 163,662.75 and 353,135.25 is: 761,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,662.75 : 353,135.25 = 353,135.25 : x
  2. Step 2: Convert to fraction form
    163,662.75/353,135.25 = 353,135.25/x
  3. Step 3: Cross multiply
    163,662.75x = 353,135.25 × 353,135.25
  4. Step 4: Simplify right side
    163,662.75x = 124,704,504,792.56
  5. Step 5: Solve for x
    x = 124,704,504,792.56/163,662.75
  6. Step 6: Final answer
    x = 761,960.22

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