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Finding the Third Proportional to 184,552.88 and 284,995.13

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Solution

The third proportional to 184,552.88 and 284,995.13 is: 440,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,552.88 : 284,995.13 = 284,995.13 : x
  2. Step 2: Convert to fraction form
    184,552.88/284,995.13 = 284,995.13/x
  3. Step 3: Cross multiply
    184,552.88x = 284,995.13 × 284,995.13
  4. Step 4: Simplify right side
    184,552.88x = 81,222,221,273.77
  5. Step 5: Solve for x
    x = 81,222,221,273.77/184,552.88
  6. Step 6: Final answer
    x = 440,102.71

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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.