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Finding the Third Proportional to 175,684 and 263,046

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Solution

The third proportional to 175,684 and 263,046 is: 393,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,684 : 263,046 = 263,046 : x
  2. Step 2: Convert to fraction form
    175,684/263,046 = 263,046/x
  3. Step 3: Cross multiply
    175,684x = 263,046 × 263,046
  4. Step 4: Simplify right side
    175,684x = 69,193,198,116
  5. Step 5: Solve for x
    x = 69,193,198,116/175,684
  6. Step 6: Final answer
    x = 393,850.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.