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Finding the Third Proportional to 180,892 and 385,800

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Solution

The third proportional to 180,892 and 385,800 is: 822,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,892 : 385,800 = 385,800 : x
  2. Step 2: Convert to fraction form
    180,892/385,800 = 385,800/x
  3. Step 3: Cross multiply
    180,892x = 385,800 × 385,800
  4. Step 4: Simplify right side
    180,892x = 148,841,640,000
  5. Step 5: Solve for x
    x = 148,841,640,000/180,892
  6. Step 6: Final answer
    x = 822,820.47

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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.