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Finding the Third Proportional to 198,348.75 and 436,058.44

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Solution

The third proportional to 198,348.75 and 436,058.44 is: 958,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,348.75 : 436,058.44 = 436,058.44 : x
  2. Step 2: Convert to fraction form
    198,348.75/436,058.44 = 436,058.44/x
  3. Step 3: Cross multiply
    198,348.75x = 436,058.44 × 436,058.44
  4. Step 4: Simplify right side
    198,348.75x = 190,146,960,914.94
  5. Step 5: Solve for x
    x = 190,146,960,914.94/198,348.75
  6. Step 6: Final answer
    x = 958,649.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.