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Finding the Third Proportional to 283,372 and 434,166

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Solution

The third proportional to 283,372 and 434,166 is: 665,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,372 : 434,166 = 434,166 : x
  2. Step 2: Convert to fraction form
    283,372/434,166 = 434,166/x
  3. Step 3: Cross multiply
    283,372x = 434,166 × 434,166
  4. Step 4: Simplify right side
    283,372x = 188,500,115,556
  5. Step 5: Solve for x
    x = 188,500,115,556/283,372
  6. Step 6: Final answer
    x = 665,203.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.