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Finding the Third Proportional to 169,443 and 368,397

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Solution

The third proportional to 169,443 and 368,397 is: 800,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,443 : 368,397 = 368,397 : x
  2. Step 2: Convert to fraction form
    169,443/368,397 = 368,397/x
  3. Step 3: Cross multiply
    169,443x = 368,397 × 368,397
  4. Step 4: Simplify right side
    169,443x = 135,716,349,609
  5. Step 5: Solve for x
    x = 135,716,349,609/169,443
  6. Step 6: Final answer
    x = 800,955.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.