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Finding the Third Proportional to 116,326 and 184,497

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Solution

The third proportional to 116,326 and 184,497 is: 292,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,326 : 184,497 = 184,497 : x
  2. Step 2: Convert to fraction form
    116,326/184,497 = 184,497/x
  3. Step 3: Cross multiply
    116,326x = 184,497 × 184,497
  4. Step 4: Simplify right side
    116,326x = 34,039,143,009
  5. Step 5: Solve for x
    x = 34,039,143,009/116,326
  6. Step 6: Final answer
    x = 292,618.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.