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Finding the Third Proportional to 144,919.13 and 309,096

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Solution

The third proportional to 144,919.13 and 309,096 is: 659,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,919.13 : 309,096 = 309,096 : x
  2. Step 2: Convert to fraction form
    144,919.13/309,096 = 309,096/x
  3. Step 3: Cross multiply
    144,919.13x = 309,096 × 309,096
  4. Step 4: Simplify right side
    144,919.13x = 95,540,337,216
  5. Step 5: Solve for x
    x = 95,540,337,216/144,919.13
  6. Step 6: Final answer
    x = 659,266.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.