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Finding the Third Proportional to 197,124.73 and 308,824.05

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Solution

The third proportional to 197,124.73 and 308,824.05 is: 483,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,124.73 : 308,824.05 = 308,824.05 : x
  2. Step 2: Convert to fraction form
    197,124.73/308,824.05 = 308,824.05/x
  3. Step 3: Cross multiply
    197,124.73x = 308,824.05 × 308,824.05
  4. Step 4: Simplify right side
    197,124.73x = 95,372,293,134.61
  5. Step 5: Solve for x
    x = 95,372,293,134.61/197,124.73
  6. Step 6: Final answer
    x = 483,816.98

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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.