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Finding the Third Proportional to 84,574 and 184,216

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Solution

The third proportional to 84,574 and 184,216 is: 401,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,574 : 184,216 = 184,216 : x
  2. Step 2: Convert to fraction form
    84,574/184,216 = 184,216/x
  3. Step 3: Cross multiply
    84,574x = 184,216 × 184,216
  4. Step 4: Simplify right side
    84,574x = 33,935,534,656
  5. Step 5: Solve for x
    x = 33,935,534,656/84,574
  6. Step 6: Final answer
    x = 401,252.57

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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.