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Finding the Third Proportional to 144,767 and 208,845

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Solution

The third proportional to 144,767 and 208,845 is: 301,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,767 : 208,845 = 208,845 : x
  2. Step 2: Convert to fraction form
    144,767/208,845 = 208,845/x
  3. Step 3: Cross multiply
    144,767x = 208,845 × 208,845
  4. Step 4: Simplify right side
    144,767x = 43,616,234,025
  5. Step 5: Solve for x
    x = 43,616,234,025/144,767
  6. Step 6: Final answer
    x = 301,285.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.