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Finding the Third Proportional to 169,397 and 368,317

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Solution

The third proportional to 169,397 and 368,317 is: 800,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,397 : 368,317 = 368,317 : x
  2. Step 2: Convert to fraction form
    169,397/368,317 = 368,317/x
  3. Step 3: Cross multiply
    169,397x = 368,317 × 368,317
  4. Step 4: Simplify right side
    169,397x = 135,657,412,489
  5. Step 5: Solve for x
    x = 135,657,412,489/169,397
  6. Step 6: Final answer
    x = 800,825.35

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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.