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Finding the Third Proportional to 169,738 and 367,040

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Solution

The third proportional to 169,738 and 367,040 is: 793,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,738 : 367,040 = 367,040 : x
  2. Step 2: Convert to fraction form
    169,738/367,040 = 367,040/x
  3. Step 3: Cross multiply
    169,738x = 367,040 × 367,040
  4. Step 4: Simplify right side
    169,738x = 134,718,361,600
  5. Step 5: Solve for x
    x = 134,718,361,600/169,738
  6. Step 6: Final answer
    x = 793,684.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.