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Finding the Third Proportional to 196,921 and 433,206

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Solution

The third proportional to 196,921 and 433,206 is: 953,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,921 : 433,206 = 433,206 : x
  2. Step 2: Convert to fraction form
    196,921/433,206 = 433,206/x
  3. Step 3: Cross multiply
    196,921x = 433,206 × 433,206
  4. Step 4: Simplify right side
    196,921x = 187,667,438,436
  5. Step 5: Solve for x
    x = 187,667,438,436/196,921
  6. Step 6: Final answer
    x = 953,008.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.