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Finding the Third Proportional to 138,735 and 298,185.75

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Solution

The third proportional to 138,735 and 298,185.75 is: 640,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,735 : 298,185.75 = 298,185.75 : x
  2. Step 2: Convert to fraction form
    138,735/298,185.75 = 298,185.75/x
  3. Step 3: Cross multiply
    138,735x = 298,185.75 × 298,185.75
  4. Step 4: Simplify right side
    138,735x = 88,914,741,503.06
  5. Step 5: Solve for x
    x = 88,914,741,503.06/138,735
  6. Step 6: Final answer
    x = 640,896.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.