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Finding the Third Proportional to 184,460.25 and 282,043.13

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Solution

The third proportional to 184,460.25 and 282,043.13 is: 431,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,460.25 : 282,043.13 = 282,043.13 : x
  2. Step 2: Convert to fraction form
    184,460.25/282,043.13 = 282,043.13/x
  3. Step 3: Cross multiply
    184,460.25x = 282,043.13 × 282,043.13
  4. Step 4: Simplify right side
    184,460.25x = 79,548,324,359.77
  5. Step 5: Solve for x
    x = 79,548,324,359.77/184,460.25
  6. Step 6: Final answer
    x = 431,249.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.