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Finding the Third Proportional to 197,078.63 and 300,539.25

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Solution

The third proportional to 197,078.63 and 300,539.25 is: 458,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,078.63 : 300,539.25 = 300,539.25 : x
  2. Step 2: Convert to fraction form
    197,078.63/300,539.25 = 300,539.25/x
  3. Step 3: Cross multiply
    197,078.63x = 300,539.25 × 300,539.25
  4. Step 4: Simplify right side
    197,078.63x = 90,323,840,790.56
  5. Step 5: Solve for x
    x = 90,323,840,790.56/197,078.63
  6. Step 6: Final answer
    x = 458,313.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.