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Finding the Third Proportional to 197,708.91 and 299,336.06

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Solution

The third proportional to 197,708.91 and 299,336.06 is: 453,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,708.91 : 299,336.06 = 299,336.06 : x
  2. Step 2: Convert to fraction form
    197,708.91/299,336.06 = 299,336.06/x
  3. Step 3: Cross multiply
    197,708.91x = 299,336.06 × 299,336.06
  4. Step 4: Simplify right side
    197,708.91x = 89,602,078,313.00
  5. Step 5: Solve for x
    x = 89,602,078,313.00/197,708.91
  6. Step 6: Final answer
    x = 453,202.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.