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Finding the Third Proportional to 169,184 and 367,540

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Solution

The third proportional to 169,184 and 367,540 is: 798,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,184 : 367,540 = 367,540 : x
  2. Step 2: Convert to fraction form
    169,184/367,540 = 367,540/x
  3. Step 3: Cross multiply
    169,184x = 367,540 × 367,540
  4. Step 4: Simplify right side
    169,184x = 135,085,651,600
  5. Step 5: Solve for x
    x = 135,085,651,600/169,184
  6. Step 6: Final answer
    x = 798,454.06

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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.