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Finding the Third Proportional to 184,295.25 and 277,738.88

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Solution

The third proportional to 184,295.25 and 277,738.88 is: 418,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,295.25 : 277,738.88 = 277,738.88 : x
  2. Step 2: Convert to fraction form
    184,295.25/277,738.88 = 277,738.88/x
  3. Step 3: Cross multiply
    184,295.25x = 277,738.88 × 277,738.88
  4. Step 4: Simplify right side
    184,295.25x = 77,138,882,686.27
  5. Step 5: Solve for x
    x = 77,138,882,686.27/184,295.25
  6. Step 6: Final answer
    x = 418,561.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.