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Finding the Third Proportional to 140,947.88 and 295,735.38

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Solution

The third proportional to 140,947.88 and 295,735.38 is: 620,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,947.88 : 295,735.38 = 295,735.38 : x
  2. Step 2: Convert to fraction form
    140,947.88/295,735.38 = 295,735.38/x
  3. Step 3: Cross multiply
    140,947.88x = 295,735.38 × 295,735.38
  4. Step 4: Simplify right side
    140,947.88x = 87,459,412,026.39
  5. Step 5: Solve for x
    x = 87,459,412,026.39/140,947.88
  6. Step 6: Final answer
    x = 620,508.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.