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Finding the Third Proportional to 84,574 and 184,036

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Solution

The third proportional to 84,574 and 184,036 is: 400,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,574 : 184,036 = 184,036 : x
  2. Step 2: Convert to fraction form
    84,574/184,036 = 184,036/x
  3. Step 3: Cross multiply
    84,574x = 184,036 × 184,036
  4. Step 4: Simplify right side
    84,574x = 33,869,249,296
  5. Step 5: Solve for x
    x = 33,869,249,296/84,574
  6. Step 6: Final answer
    x = 400,468.81

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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.