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Finding the Third Proportional to 144,850 and 194,918

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Solution

The third proportional to 144,850 and 194,918 is: 262,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,850 : 194,918 = 194,918 : x
  2. Step 2: Convert to fraction form
    144,850/194,918 = 194,918/x
  3. Step 3: Cross multiply
    144,850x = 194,918 × 194,918
  4. Step 4: Simplify right side
    144,850x = 37,993,026,724
  5. Step 5: Solve for x
    x = 37,993,026,724/144,850
  6. Step 6: Final answer
    x = 262,292.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.