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Finding the Third Proportional to 197,148.94 and 308,863.13

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Solution

The third proportional to 197,148.94 and 308,863.13 is: 483,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,148.94 : 308,863.13 = 308,863.13 : x
  2. Step 2: Convert to fraction form
    197,148.94/308,863.13 = 308,863.13/x
  3. Step 3: Cross multiply
    197,148.94x = 308,863.13 × 308,863.13
  4. Step 4: Simplify right side
    197,148.94x = 95,396,429,984.77
  5. Step 5: Solve for x
    x = 95,396,429,984.77/197,148.94
  6. Step 6: Final answer
    x = 483,880.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.