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Finding the Third Proportional to 161,634 and 352,638

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Solution

The third proportional to 161,634 and 352,638 is: 769,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,634 : 352,638 = 352,638 : x
  2. Step 2: Convert to fraction form
    161,634/352,638 = 352,638/x
  3. Step 3: Cross multiply
    161,634x = 352,638 × 352,638
  4. Step 4: Simplify right side
    161,634x = 124,353,559,044
  5. Step 5: Solve for x
    x = 124,353,559,044/161,634
  6. Step 6: Final answer
    x = 769,352.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.