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Finding the Third Proportional to 141,115.50 and 301,650.75

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Solution

The third proportional to 141,115.50 and 301,650.75 is: 644,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,115.50 : 301,650.75 = 301,650.75 : x
  2. Step 2: Convert to fraction form
    141,115.50/301,650.75 = 301,650.75/x
  3. Step 3: Cross multiply
    141,115.50x = 301,650.75 × 301,650.75
  4. Step 4: Simplify right side
    141,115.50x = 90,993,174,975.56
  5. Step 5: Solve for x
    x = 90,993,174,975.56/141,115.50
  6. Step 6: Final answer
    x = 644,813.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.