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Finding the Third Proportional to 189,476 and 405,206

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Solution

The third proportional to 189,476 and 405,206 is: 866,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,476 : 405,206 = 405,206 : x
  2. Step 2: Convert to fraction form
    189,476/405,206 = 405,206/x
  3. Step 3: Cross multiply
    189,476x = 405,206 × 405,206
  4. Step 4: Simplify right side
    189,476x = 164,191,902,436
  5. Step 5: Solve for x
    x = 164,191,902,436/189,476
  6. Step 6: Final answer
    x = 866,557.78

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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.