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Finding the Third Proportional to 84,617 and 184,417

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Solution

The third proportional to 84,617 and 184,417 is: 401,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,617 : 184,417 = 184,417 : x
  2. Step 2: Convert to fraction form
    84,617/184,417 = 184,417/x
  3. Step 3: Cross multiply
    84,617x = 184,417 × 184,417
  4. Step 4: Simplify right side
    84,617x = 34,009,629,889
  5. Step 5: Solve for x
    x = 34,009,629,889/84,617
  6. Step 6: Final answer
    x = 401,924.32

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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.