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Finding the Third Proportional to 184,824 and 399,168

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Solution

The third proportional to 184,824 and 399,168 is: 862,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,824 : 399,168 = 399,168 : x
  2. Step 2: Convert to fraction form
    184,824/399,168 = 399,168/x
  3. Step 3: Cross multiply
    184,824x = 399,168 × 399,168
  4. Step 4: Simplify right side
    184,824x = 159,335,092,224
  5. Step 5: Solve for x
    x = 159,335,092,224/184,824
  6. Step 6: Final answer
    x = 862,090.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.