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Finding the Third Proportional to 84,291.75 and 184,682.25

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Solution

The third proportional to 84,291.75 and 184,682.25 is: 404,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,291.75 : 184,682.25 = 184,682.25 : x
  2. Step 2: Convert to fraction form
    84,291.75/184,682.25 = 184,682.25/x
  3. Step 3: Cross multiply
    84,291.75x = 184,682.25 × 184,682.25
  4. Step 4: Simplify right side
    84,291.75x = 34,107,533,465.06
  5. Step 5: Solve for x
    x = 34,107,533,465.06/84,291.75
  6. Step 6: Final answer
    x = 404,636.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.