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Finding the Third Proportional to 197,072 and 408,152

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Solution

The third proportional to 197,072 and 408,152 is: 845,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,072 : 408,152 = 408,152 : x
  2. Step 2: Convert to fraction form
    197,072/408,152 = 408,152/x
  3. Step 3: Cross multiply
    197,072x = 408,152 × 408,152
  4. Step 4: Simplify right side
    197,072x = 166,588,055,104
  5. Step 5: Solve for x
    x = 166,588,055,104/197,072
  6. Step 6: Final answer
    x = 845,315.70

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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.