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Finding the Third Proportional to 169,771 and 359,779

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Solution

The third proportional to 169,771 and 359,779 is: 762,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,771 : 359,779 = 359,779 : x
  2. Step 2: Convert to fraction form
    169,771/359,779 = 359,779/x
  3. Step 3: Cross multiply
    169,771x = 359,779 × 359,779
  4. Step 4: Simplify right side
    169,771x = 129,440,928,841
  5. Step 5: Solve for x
    x = 129,440,928,841/169,771
  6. Step 6: Final answer
    x = 762,444.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.