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Finding the Third Proportional to 184,228.50 and 382,305

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Solution

The third proportional to 184,228.50 and 382,305 is: 793,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,228.50 : 382,305 = 382,305 : x
  2. Step 2: Convert to fraction form
    184,228.50/382,305 = 382,305/x
  3. Step 3: Cross multiply
    184,228.50x = 382,305 × 382,305
  4. Step 4: Simplify right side
    184,228.50x = 146,157,113,025
  5. Step 5: Solve for x
    x = 146,157,113,025/184,228.50
  6. Step 6: Final answer
    x = 793,346.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.