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Finding the Third Proportional to 84,289.50 and 180,573.75

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Solution

The third proportional to 84,289.50 and 180,573.75 is: 386,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,289.50 : 180,573.75 = 180,573.75 : x
  2. Step 2: Convert to fraction form
    84,289.50/180,573.75 = 180,573.75/x
  3. Step 3: Cross multiply
    84,289.50x = 180,573.75 × 180,573.75
  4. Step 4: Simplify right side
    84,289.50x = 32,606,879,189.06
  5. Step 5: Solve for x
    x = 32,606,879,189.06/84,289.50
  6. Step 6: Final answer
    x = 386,843.90

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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.