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Finding the Third Proportional to 84,040.88 and 180,825.75

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Solution

The third proportional to 84,040.88 and 180,825.75 is: 389,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,040.88 : 180,825.75 = 180,825.75 : x
  2. Step 2: Convert to fraction form
    84,040.88/180,825.75 = 180,825.75/x
  3. Step 3: Cross multiply
    84,040.88x = 180,825.75 × 180,825.75
  4. Step 4: Simplify right side
    84,040.88x = 32,697,951,863.06
  5. Step 5: Solve for x
    x = 32,697,951,863.06/84,040.88
  6. Step 6: Final answer
    x = 389,072.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.