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Finding the Third Proportional to 140,575.50 and 303,294.38

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Solution

The third proportional to 140,575.50 and 303,294.38 is: 654,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,575.50 : 303,294.38 = 303,294.38 : x
  2. Step 2: Convert to fraction form
    140,575.50/303,294.38 = 303,294.38/x
  3. Step 3: Cross multiply
    140,575.50x = 303,294.38 × 303,294.38
  4. Step 4: Simplify right side
    140,575.50x = 91,987,477,906.64
  5. Step 5: Solve for x
    x = 91,987,477,906.64/140,575.50
  6. Step 6: Final answer
    x = 654,363.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.