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Finding the Third Proportional to 144,910 and 311,244

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Solution

The third proportional to 144,910 and 311,244 is: 668,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,910 : 311,244 = 311,244 : x
  2. Step 2: Convert to fraction form
    144,910/311,244 = 311,244/x
  3. Step 3: Cross multiply
    144,910x = 311,244 × 311,244
  4. Step 4: Simplify right side
    144,910x = 96,872,827,536
  5. Step 5: Solve for x
    x = 96,872,827,536/144,910
  6. Step 6: Final answer
    x = 668,503.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.