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Finding the Third Proportional to 197,088.75 and 408,177

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Solution

The third proportional to 197,088.75 and 408,177 is: 845,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,088.75 : 408,177 = 408,177 : x
  2. Step 2: Convert to fraction form
    197,088.75/408,177 = 408,177/x
  3. Step 3: Cross multiply
    197,088.75x = 408,177 × 408,177
  4. Step 4: Simplify right side
    197,088.75x = 166,608,463,329
  5. Step 5: Solve for x
    x = 166,608,463,329/197,088.75
  6. Step 6: Final answer
    x = 845,347.40

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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.