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Finding the Third Proportional to 197,984.25 and 325,022.63

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Solution

The third proportional to 197,984.25 and 325,022.63 is: 533,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,984.25 : 325,022.63 = 325,022.63 : x
  2. Step 2: Convert to fraction form
    197,984.25/325,022.63 = 325,022.63/x
  3. Step 3: Cross multiply
    197,984.25x = 325,022.63 × 325,022.63
  4. Step 4: Simplify right side
    197,984.25x = 105,639,706,761.89
  5. Step 5: Solve for x
    x = 105,639,706,761.89/197,984.25
  6. Step 6: Final answer
    x = 533,576.32

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.