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Finding the Third Proportional to 84,260.25 and 180,913.50

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Solution

The third proportional to 84,260.25 and 180,913.50 is: 388,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,260.25 : 180,913.50 = 180,913.50 : x
  2. Step 2: Convert to fraction form
    84,260.25/180,913.50 = 180,913.50/x
  3. Step 3: Cross multiply
    84,260.25x = 180,913.50 × 180,913.50
  4. Step 4: Simplify right side
    84,260.25x = 32,729,694,482.25
  5. Step 5: Solve for x
    x = 32,729,694,482.25/84,260.25
  6. Step 6: Final answer
    x = 388,435.76

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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.