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Finding the Third Proportional to 80,301.75 and 174,908.25

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Solution

The third proportional to 80,301.75 and 174,908.25 is: 380,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.75 : 174,908.25 = 174,908.25 : x
  2. Step 2: Convert to fraction form
    80,301.75/174,908.25 = 174,908.25/x
  3. Step 3: Cross multiply
    80,301.75x = 174,908.25 × 174,908.25
  4. Step 4: Simplify right side
    80,301.75x = 30,592,895,918.06
  5. Step 5: Solve for x
    x = 30,592,895,918.06/80,301.75
  6. Step 6: Final answer
    x = 380,974.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.