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Finding the Third Proportional to 180,477 and 391,086

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Solution

The third proportional to 180,477 and 391,086 is: 847,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,477 : 391,086 = 391,086 : x
  2. Step 2: Convert to fraction form
    180,477/391,086 = 391,086/x
  3. Step 3: Cross multiply
    180,477x = 391,086 × 391,086
  4. Step 4: Simplify right side
    180,477x = 152,948,259,396
  5. Step 5: Solve for x
    x = 152,948,259,396/180,477
  6. Step 6: Final answer
    x = 847,466.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.