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Finding the Third Proportional to 184,254.75 and 277,680.66

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Solution

The third proportional to 184,254.75 and 277,680.66 is: 418,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,254.75 : 277,680.66 = 277,680.66 : x
  2. Step 2: Convert to fraction form
    184,254.75/277,680.66 = 277,680.66/x
  3. Step 3: Cross multiply
    184,254.75x = 277,680.66 × 277,680.66
  4. Step 4: Simplify right side
    184,254.75x = 77,106,546,855.43
  5. Step 5: Solve for x
    x = 77,106,546,855.43/184,254.75
  6. Step 6: Final answer
    x = 418,477.93

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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.