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Finding the Third Proportional to 197,028 and 408,070

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Solution

The third proportional to 197,028 and 408,070 is: 845,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,028 : 408,070 = 408,070 : x
  2. Step 2: Convert to fraction form
    197,028/408,070 = 408,070/x
  3. Step 3: Cross multiply
    197,028x = 408,070 × 408,070
  4. Step 4: Simplify right side
    197,028x = 166,521,124,900
  5. Step 5: Solve for x
    x = 166,521,124,900/197,028
  6. Step 6: Final answer
    x = 845,164.77

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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.