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Finding the Third Proportional to 83,300.25 and 182,811.75

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Solution

The third proportional to 83,300.25 and 182,811.75 is: 401,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300.25 : 182,811.75 = 182,811.75 : x
  2. Step 2: Convert to fraction form
    83,300.25/182,811.75 = 182,811.75/x
  3. Step 3: Cross multiply
    83,300.25x = 182,811.75 × 182,811.75
  4. Step 4: Simplify right side
    83,300.25x = 33,420,135,938.06
  5. Step 5: Solve for x
    x = 33,420,135,938.06/83,300.25
  6. Step 6: Final answer
    x = 401,200.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.