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Finding the Third Proportional to 283,370 and 434,163

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Solution

The third proportional to 283,370 and 434,163 is: 665,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,370 : 434,163 = 434,163 : x
  2. Step 2: Convert to fraction form
    283,370/434,163 = 434,163/x
  3. Step 3: Cross multiply
    283,370x = 434,163 × 434,163
  4. Step 4: Simplify right side
    283,370x = 188,497,510,569
  5. Step 5: Solve for x
    x = 188,497,510,569/283,370
  6. Step 6: Final answer
    x = 665,199.25

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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.