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Finding the Third Proportional to 197,766.56 and 409,546.13

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Solution

The third proportional to 197,766.56 and 409,546.13 is: 848,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,766.56 : 409,546.13 = 409,546.13 : x
  2. Step 2: Convert to fraction form
    197,766.56/409,546.13 = 409,546.13/x
  3. Step 3: Cross multiply
    197,766.56x = 409,546.13 × 409,546.13
  4. Step 4: Simplify right side
    197,766.56x = 167,728,028,502.52
  5. Step 5: Solve for x
    x = 167,728,028,502.52/197,766.56
  6. Step 6: Final answer
    x = 848,111.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.