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Finding the Third Proportional to 189,441 and 405,151

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Solution

The third proportional to 189,441 and 405,151 is: 866,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,441 : 405,151 = 405,151 : x
  2. Step 2: Convert to fraction form
    189,441/405,151 = 405,151/x
  3. Step 3: Cross multiply
    189,441x = 405,151 × 405,151
  4. Step 4: Simplify right side
    189,441x = 164,147,332,801
  5. Step 5: Solve for x
    x = 164,147,332,801/189,441
  6. Step 6: Final answer
    x = 866,482.61

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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.