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Finding the Third Proportional to 84,406 and 184,496

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Solution

The third proportional to 84,406 and 184,496 is: 403,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,406 : 184,496 = 184,496 : x
  2. Step 2: Convert to fraction form
    84,406/184,496 = 184,496/x
  3. Step 3: Cross multiply
    84,406x = 184,496 × 184,496
  4. Step 4: Simplify right side
    84,406x = 34,038,774,016
  5. Step 5: Solve for x
    x = 34,038,774,016/84,406
  6. Step 6: Final answer
    x = 403,274.34

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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.