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Finding the Third Proportional to 116,458 and 184,703

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Solution

The third proportional to 116,458 and 184,703 is: 292,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,458 : 184,703 = 184,703 : x
  2. Step 2: Convert to fraction form
    116,458/184,703 = 184,703/x
  3. Step 3: Cross multiply
    116,458x = 184,703 × 184,703
  4. Step 4: Simplify right side
    116,458x = 34,115,198,209
  5. Step 5: Solve for x
    x = 34,115,198,209/116,458
  6. Step 6: Final answer
    x = 292,939.93

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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.