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Finding the Third Proportional to 104,467.50 and 225,559.50

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Solution

The third proportional to 104,467.50 and 225,559.50 is: 487,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,467.50 : 225,559.50 = 225,559.50 : x
  2. Step 2: Convert to fraction form
    104,467.50/225,559.50 = 225,559.50/x
  3. Step 3: Cross multiply
    104,467.50x = 225,559.50 × 225,559.50
  4. Step 4: Simplify right side
    104,467.50x = 50,877,088,040.25
  5. Step 5: Solve for x
    x = 50,877,088,040.25/104,467.50
  6. Step 6: Final answer
    x = 487,013.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.