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Finding the Third Proportional to 84,176 and 184,957

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Solution

The third proportional to 84,176 and 184,957 is: 406,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176 : 184,957 = 184,957 : x
  2. Step 2: Convert to fraction form
    84,176/184,957 = 184,957/x
  3. Step 3: Cross multiply
    84,176x = 184,957 × 184,957
  4. Step 4: Simplify right side
    84,176x = 34,209,091,849
  5. Step 5: Solve for x
    x = 34,209,091,849/84,176
  6. Step 6: Final answer
    x = 406,399.59

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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.