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Finding the Third Proportional to 184,401.75 and 277,901.25

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Solution

The third proportional to 184,401.75 and 277,901.25 is: 418,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,401.75 : 277,901.25 = 277,901.25 : x
  2. Step 2: Convert to fraction form
    184,401.75/277,901.25 = 277,901.25/x
  3. Step 3: Cross multiply
    184,401.75x = 277,901.25 × 277,901.25
  4. Step 4: Simplify right side
    184,401.75x = 77,229,104,751.56
  5. Step 5: Solve for x
    x = 77,229,104,751.56/184,401.75
  6. Step 6: Final answer
    x = 418,808.96

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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.