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Finding the Third Proportional to 168,052 and 369,230

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Solution

The third proportional to 168,052 and 369,230 is: 811,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,052 : 369,230 = 369,230 : x
  2. Step 2: Convert to fraction form
    168,052/369,230 = 369,230/x
  3. Step 3: Cross multiply
    168,052x = 369,230 × 369,230
  4. Step 4: Simplify right side
    168,052x = 136,330,792,900
  5. Step 5: Solve for x
    x = 136,330,792,900/168,052
  6. Step 6: Final answer
    x = 811,241.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.