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Finding the Third Proportional to 169,743 and 373,371

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Solution

The third proportional to 169,743 and 373,371 is: 821,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,743 : 373,371 = 373,371 : x
  2. Step 2: Convert to fraction form
    169,743/373,371 = 373,371/x
  3. Step 3: Cross multiply
    169,743x = 373,371 × 373,371
  4. Step 4: Simplify right side
    169,743x = 139,405,903,641
  5. Step 5: Solve for x
    x = 139,405,903,641/169,743
  6. Step 6: Final answer
    x = 821,276.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.