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Finding the Third Proportional to 163,059.75 and 354,057.75

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Solution

The third proportional to 163,059.75 and 354,057.75 is: 768,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,059.75 : 354,057.75 = 354,057.75 : x
  2. Step 2: Convert to fraction form
    163,059.75/354,057.75 = 354,057.75/x
  3. Step 3: Cross multiply
    163,059.75x = 354,057.75 × 354,057.75
  4. Step 4: Simplify right side
    163,059.75x = 125,356,890,335.06
  5. Step 5: Solve for x
    x = 125,356,890,335.06/163,059.75
  6. Step 6: Final answer
    x = 768,778.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.