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Finding the Third Proportional to 169,612 and 368,384

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Solution

The third proportional to 169,612 and 368,384 is: 800,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,612 : 368,384 = 368,384 : x
  2. Step 2: Convert to fraction form
    169,612/368,384 = 368,384/x
  3. Step 3: Cross multiply
    169,612x = 368,384 × 368,384
  4. Step 4: Simplify right side
    169,612x = 135,706,771,456
  5. Step 5: Solve for x
    x = 135,706,771,456/169,612
  6. Step 6: Final answer
    x = 800,101.24

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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.