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Finding the Third Proportional to 174,744 and 263,776

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Solution

The third proportional to 174,744 and 263,776 is: 398,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,744 : 263,776 = 263,776 : x
  2. Step 2: Convert to fraction form
    174,744/263,776 = 263,776/x
  3. Step 3: Cross multiply
    174,744x = 263,776 × 263,776
  4. Step 4: Simplify right side
    174,744x = 69,577,778,176
  5. Step 5: Solve for x
    x = 69,577,778,176/174,744
  6. Step 6: Final answer
    x = 398,169.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.