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Finding the Third Proportional to 161,441 and 318,742

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Solution

The third proportional to 161,441 and 318,742 is: 629,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,441 : 318,742 = 318,742 : x
  2. Step 2: Convert to fraction form
    161,441/318,742 = 318,742/x
  3. Step 3: Cross multiply
    161,441x = 318,742 × 318,742
  4. Step 4: Simplify right side
    161,441x = 101,596,462,564
  5. Step 5: Solve for x
    x = 101,596,462,564/161,441
  6. Step 6: Final answer
    x = 629,310.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.