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Finding the Third Proportional to 144,917 and 309,094

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Solution

The third proportional to 144,917 and 309,094 is: 659,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,917 : 309,094 = 309,094 : x
  2. Step 2: Convert to fraction form
    144,917/309,094 = 309,094/x
  3. Step 3: Cross multiply
    144,917x = 309,094 × 309,094
  4. Step 4: Simplify right side
    144,917x = 95,539,100,836
  5. Step 5: Solve for x
    x = 95,539,100,836/144,917
  6. Step 6: Final answer
    x = 659,267.72

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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.