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Finding the Third Proportional to 220,533.75 and 324,339.75

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Solution

The third proportional to 220,533.75 and 324,339.75 is: 477,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,533.75 : 324,339.75 = 324,339.75 : x
  2. Step 2: Convert to fraction form
    220,533.75/324,339.75 = 324,339.75/x
  3. Step 3: Cross multiply
    220,533.75x = 324,339.75 × 324,339.75
  4. Step 4: Simplify right side
    220,533.75x = 105,196,273,430.06
  5. Step 5: Solve for x
    x = 105,196,273,430.06/220,533.75
  6. Step 6: Final answer
    x = 477,007.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.