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Finding the Third Proportional to 184,385.63 and 284,767.03

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Solution

The third proportional to 184,385.63 and 284,767.03 is: 439,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,385.63 : 284,767.03 = 284,767.03 : x
  2. Step 2: Convert to fraction form
    184,385.63/284,767.03 = 284,767.03/x
  3. Step 3: Cross multiply
    184,385.63x = 284,767.03 × 284,767.03
  4. Step 4: Simplify right side
    184,385.63x = 81,092,262,086.94
  5. Step 5: Solve for x
    x = 81,092,262,086.94/184,385.63
  6. Step 6: Final answer
    x = 439,797.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.