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Finding the Third Proportional to 197,190 and 429,606

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Solution

The third proportional to 197,190 and 429,606 is: 935,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,190 : 429,606 = 429,606 : x
  2. Step 2: Convert to fraction form
    197,190/429,606 = 429,606/x
  3. Step 3: Cross multiply
    197,190x = 429,606 × 429,606
  4. Step 4: Simplify right side
    197,190x = 184,561,315,236
  5. Step 5: Solve for x
    x = 184,561,315,236/197,190
  6. Step 6: Final answer
    x = 935,956.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.