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Finding the Third Proportional to 169,395 and 368,313

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Solution

The third proportional to 169,395 and 368,313 is: 800,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,395 : 368,313 = 368,313 : x
  2. Step 2: Convert to fraction form
    169,395/368,313 = 368,313/x
  3. Step 3: Cross multiply
    169,395x = 368,313 × 368,313
  4. Step 4: Simplify right side
    169,395x = 135,654,465,969
  5. Step 5: Solve for x
    x = 135,654,465,969/169,395
  6. Step 6: Final answer
    x = 800,817.41

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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.