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Finding the Third Proportional to 180,936 and 385,920

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Solution

The third proportional to 180,936 and 385,920 is: 823,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,936 : 385,920 = 385,920 : x
  2. Step 2: Convert to fraction form
    180,936/385,920 = 385,920/x
  3. Step 3: Cross multiply
    180,936x = 385,920 × 385,920
  4. Step 4: Simplify right side
    180,936x = 148,934,246,400
  5. Step 5: Solve for x
    x = 148,934,246,400/180,936
  6. Step 6: Final answer
    x = 823,132.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.