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Finding the Third Proportional to 184,771.13 and 242,620.31

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Solution

The third proportional to 184,771.13 and 242,620.31 is: 318,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,771.13 : 242,620.31 = 242,620.31 : x
  2. Step 2: Convert to fraction form
    184,771.13/242,620.31 = 242,620.31/x
  3. Step 3: Cross multiply
    184,771.13x = 242,620.31 × 242,620.31
  4. Step 4: Simplify right side
    184,771.13x = 58,864,616,037.60
  5. Step 5: Solve for x
    x = 58,864,616,037.60/184,771.13
  6. Step 6: Final answer
    x = 318,581.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.