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Finding the Third Proportional to 174,772 and 263,022

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Solution

The third proportional to 174,772 and 263,022 is: 395,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,772 : 263,022 = 263,022 : x
  2. Step 2: Convert to fraction form
    174,772/263,022 = 263,022/x
  3. Step 3: Cross multiply
    174,772x = 263,022 × 263,022
  4. Step 4: Simplify right side
    174,772x = 69,180,572,484
  5. Step 5: Solve for x
    x = 69,180,572,484/174,772
  6. Step 6: Final answer
    x = 395,833.27

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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.