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Finding the Third Proportional to 184,522.88 and 275,821.13

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Solution

The third proportional to 184,522.88 and 275,821.13 is: 412,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,522.88 : 275,821.13 = 275,821.13 : x
  2. Step 2: Convert to fraction form
    184,522.88/275,821.13 = 275,821.13/x
  3. Step 3: Cross multiply
    184,522.88x = 275,821.13 × 275,821.13
  4. Step 4: Simplify right side
    184,522.88x = 76,077,292,996.27
  5. Step 5: Solve for x
    x = 76,077,292,996.27/184,522.88
  6. Step 6: Final answer
    x = 412,291.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.