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Finding the Third Proportional to 169,743 and 373,383

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Solution

The third proportional to 169,743 and 373,383 is: 821,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,743 : 373,383 = 373,383 : x
  2. Step 2: Convert to fraction form
    169,743/373,383 = 373,383/x
  3. Step 3: Cross multiply
    169,743x = 373,383 × 373,383
  4. Step 4: Simplify right side
    169,743x = 139,414,864,689
  5. Step 5: Solve for x
    x = 139,414,864,689/169,743
  6. Step 6: Final answer
    x = 821,329.10

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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.