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Finding the Third Proportional to 184,392 and 285,232

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Solution

The third proportional to 184,392 and 285,232 is: 441,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,392 : 285,232 = 285,232 : x
  2. Step 2: Convert to fraction form
    184,392/285,232 = 285,232/x
  3. Step 3: Cross multiply
    184,392x = 285,232 × 285,232
  4. Step 4: Simplify right side
    184,392x = 81,357,293,824
  5. Step 5: Solve for x
    x = 81,357,293,824/184,392
  6. Step 6: Final answer
    x = 441,219.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.