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Finding the Third Proportional to 84,417 and 184,518

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Solution

The third proportional to 84,417 and 184,518 is: 403,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,417 : 184,518 = 184,518 : x
  2. Step 2: Convert to fraction form
    84,417/184,518 = 184,518/x
  3. Step 3: Cross multiply
    84,417x = 184,518 × 184,518
  4. Step 4: Simplify right side
    84,417x = 34,046,892,324
  5. Step 5: Solve for x
    x = 34,046,892,324/84,417
  6. Step 6: Final answer
    x = 403,317.96

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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.