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Finding the Third Proportional to 184,088 and 379,920

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Solution

The third proportional to 184,088 and 379,920 is: 784,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,088 : 379,920 = 379,920 : x
  2. Step 2: Convert to fraction form
    184,088/379,920 = 379,920/x
  3. Step 3: Cross multiply
    184,088x = 379,920 × 379,920
  4. Step 4: Simplify right side
    184,088x = 144,339,206,400
  5. Step 5: Solve for x
    x = 144,339,206,400/184,088
  6. Step 6: Final answer
    x = 784,077.22

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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.