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Finding the Third Proportional to 169,180 and 368,496

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Solution

The third proportional to 169,180 and 368,496 is: 802,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,180 : 368,496 = 368,496 : x
  2. Step 2: Convert to fraction form
    169,180/368,496 = 368,496/x
  3. Step 3: Cross multiply
    169,180x = 368,496 × 368,496
  4. Step 4: Simplify right side
    169,180x = 135,789,302,016
  5. Step 5: Solve for x
    x = 135,789,302,016/169,180
  6. Step 6: Final answer
    x = 802,632.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.