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Finding the Third Proportional to 184,090 and 379,924

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Solution

The third proportional to 184,090 and 379,924 is: 784,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,090 : 379,924 = 379,924 : x
  2. Step 2: Convert to fraction form
    184,090/379,924 = 379,924/x
  3. Step 3: Cross multiply
    184,090x = 379,924 × 379,924
  4. Step 4: Simplify right side
    184,090x = 144,342,245,776
  5. Step 5: Solve for x
    x = 144,342,245,776/184,090
  6. Step 6: Final answer
    x = 784,085.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.