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Finding the Third Proportional to 137,403.50 and 301,375

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Solution

The third proportional to 137,403.50 and 301,375 is: 661,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,403.50 : 301,375 = 301,375 : x
  2. Step 2: Convert to fraction form
    137,403.50/301,375 = 301,375/x
  3. Step 3: Cross multiply
    137,403.50x = 301,375 × 301,375
  4. Step 4: Simplify right side
    137,403.50x = 90,826,890,625
  5. Step 5: Solve for x
    x = 90,826,890,625/137,403.50
  6. Step 6: Final answer
    x = 661,023.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.