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Finding the Third Proportional to 197,060 and 408,133

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Solution

The third proportional to 197,060 and 408,133 is: 845,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,060 : 408,133 = 408,133 : x
  2. Step 2: Convert to fraction form
    197,060/408,133 = 408,133/x
  3. Step 3: Cross multiply
    197,060x = 408,133 × 408,133
  4. Step 4: Simplify right side
    197,060x = 166,572,545,689
  5. Step 5: Solve for x
    x = 166,572,545,689/197,060
  6. Step 6: Final answer
    x = 845,288.47

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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.