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Finding the Third Proportional to 80,370.75 and 171,813

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Solution

The third proportional to 80,370.75 and 171,813 is: 367,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,370.75 : 171,813 = 171,813 : x
  2. Step 2: Convert to fraction form
    80,370.75/171,813 = 171,813/x
  3. Step 3: Cross multiply
    80,370.75x = 171,813 × 171,813
  4. Step 4: Simplify right side
    80,370.75x = 29,519,706,969
  5. Step 5: Solve for x
    x = 29,519,706,969/80,370.75
  6. Step 6: Final answer
    x = 367,294.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.