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Finding the Third Proportional to 197,150.25 and 308,864.25

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Solution

The third proportional to 197,150.25 and 308,864.25 is: 483,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,150.25 : 308,864.25 = 308,864.25 : x
  2. Step 2: Convert to fraction form
    197,150.25/308,864.25 = 308,864.25/x
  3. Step 3: Cross multiply
    197,150.25x = 308,864.25 × 308,864.25
  4. Step 4: Simplify right side
    197,150.25x = 95,397,124,928.06
  5. Step 5: Solve for x
    x = 95,397,124,928.06/197,150.25
  6. Step 6: Final answer
    x = 483,880.31

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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.