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Finding the Third Proportional to 196,928 and 421,877

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Solution

The third proportional to 196,928 and 421,877 is: 903,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,928 : 421,877 = 421,877 : x
  2. Step 2: Convert to fraction form
    196,928/421,877 = 421,877/x
  3. Step 3: Cross multiply
    196,928x = 421,877 × 421,877
  4. Step 4: Simplify right side
    196,928x = 177,980,203,129
  5. Step 5: Solve for x
    x = 177,980,203,129/196,928
  6. Step 6: Final answer
    x = 903,783.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.