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Finding the Third Proportional to 184,088 and 397,171

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Solution

The third proportional to 184,088 and 397,171 is: 856,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,088 : 397,171 = 397,171 : x
  2. Step 2: Convert to fraction form
    184,088/397,171 = 397,171/x
  3. Step 3: Cross multiply
    184,088x = 397,171 × 397,171
  4. Step 4: Simplify right side
    184,088x = 157,744,803,241
  5. Step 5: Solve for x
    x = 157,744,803,241/184,088
  6. Step 6: Final answer
    x = 856,898.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.