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Finding the Third Proportional to 84,621 and 184,422

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Solution

The third proportional to 84,621 and 184,422 is: 401,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,621 : 184,422 = 184,422 : x
  2. Step 2: Convert to fraction form
    84,621/184,422 = 184,422/x
  3. Step 3: Cross multiply
    84,621x = 184,422 × 184,422
  4. Step 4: Simplify right side
    84,621x = 34,011,474,084
  5. Step 5: Solve for x
    x = 34,011,474,084/84,621
  6. Step 6: Final answer
    x = 401,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.