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Finding the Third Proportional to 168,984 and 367,164

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Solution

The third proportional to 168,984 and 367,164 is: 797,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,984 : 367,164 = 367,164 : x
  2. Step 2: Convert to fraction form
    168,984/367,164 = 367,164/x
  3. Step 3: Cross multiply
    168,984x = 367,164 × 367,164
  4. Step 4: Simplify right side
    168,984x = 134,809,402,896
  5. Step 5: Solve for x
    x = 134,809,402,896/168,984
  6. Step 6: Final answer
    x = 797,764.30

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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.