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Finding the Third Proportional to 84,404.25 and 184,492.13

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Solution

The third proportional to 84,404.25 and 184,492.13 is: 403,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,404.25 : 184,492.13 = 184,492.13 : x
  2. Step 2: Convert to fraction form
    84,404.25/184,492.13 = 184,492.13/x
  3. Step 3: Cross multiply
    84,404.25x = 184,492.13 × 184,492.13
  4. Step 4: Simplify right side
    84,404.25x = 34,037,344,187.02
  5. Step 5: Solve for x
    x = 34,037,344,187.02/84,404.25
  6. Step 6: Final answer
    x = 403,265.76

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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.