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Finding the Third Proportional to 184,240 and 382,328

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Solution

The third proportional to 184,240 and 382,328 is: 793,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,240 : 382,328 = 382,328 : x
  2. Step 2: Convert to fraction form
    184,240/382,328 = 382,328/x
  3. Step 3: Cross multiply
    184,240x = 382,328 × 382,328
  4. Step 4: Simplify right side
    184,240x = 146,174,699,584
  5. Step 5: Solve for x
    x = 146,174,699,584/184,240
  6. Step 6: Final answer
    x = 793,392.85

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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.