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Finding the Third Proportional to 163,883.25 and 354,091.50

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Solution

The third proportional to 163,883.25 and 354,091.50 is: 765,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,883.25 : 354,091.50 = 354,091.50 : x
  2. Step 2: Convert to fraction form
    163,883.25/354,091.50 = 354,091.50/x
  3. Step 3: Cross multiply
    163,883.25x = 354,091.50 × 354,091.50
  4. Step 4: Simplify right side
    163,883.25x = 125,380,790,372.25
  5. Step 5: Solve for x
    x = 125,380,790,372.25/163,883.25
  6. Step 6: Final answer
    x = 765,061.65

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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.