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Finding the Third Proportional to 180,910 and 385,860

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Solution

The third proportional to 180,910 and 385,860 is: 822,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,910 : 385,860 = 385,860 : x
  2. Step 2: Convert to fraction form
    180,910/385,860 = 385,860/x
  3. Step 3: Cross multiply
    180,910x = 385,860 × 385,860
  4. Step 4: Simplify right side
    180,910x = 148,887,939,600
  5. Step 5: Solve for x
    x = 148,887,939,600/180,910
  6. Step 6: Final answer
    x = 822,994.53

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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.