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Finding the Third Proportional to 135,850.50 and 298,593

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Solution

The third proportional to 135,850.50 and 298,593 is: 656,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,850.50 : 298,593 = 298,593 : x
  2. Step 2: Convert to fraction form
    135,850.50/298,593 = 298,593/x
  3. Step 3: Cross multiply
    135,850.50x = 298,593 × 298,593
  4. Step 4: Simplify right side
    135,850.50x = 89,157,779,649
  5. Step 5: Solve for x
    x = 89,157,779,649/135,850.50
  6. Step 6: Final answer
    x = 656,293.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.