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Finding the Third Proportional to 144,341 and 207,918

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Solution

The third proportional to 144,341 and 207,918 is: 299,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,341 : 207,918 = 207,918 : x
  2. Step 2: Convert to fraction form
    144,341/207,918 = 207,918/x
  3. Step 3: Cross multiply
    144,341x = 207,918 × 207,918
  4. Step 4: Simplify right side
    144,341x = 43,229,894,724
  5. Step 5: Solve for x
    x = 43,229,894,724/144,341
  6. Step 6: Final answer
    x = 299,498.37

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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.