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Finding the Third Proportional to 169,836 and 367,344

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Solution

The third proportional to 169,836 and 367,344 is: 794,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,836 : 367,344 = 367,344 : x
  2. Step 2: Convert to fraction form
    169,836/367,344 = 367,344/x
  3. Step 3: Cross multiply
    169,836x = 367,344 × 367,344
  4. Step 4: Simplify right side
    169,836x = 134,941,614,336
  5. Step 5: Solve for x
    x = 134,941,614,336/169,836
  6. Step 6: Final answer
    x = 794,540.70

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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.