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Finding the Third Proportional to 174,748 and 263,782

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Solution

The third proportional to 174,748 and 263,782 is: 398,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,748 : 263,782 = 263,782 : x
  2. Step 2: Convert to fraction form
    174,748/263,782 = 263,782/x
  3. Step 3: Cross multiply
    174,748x = 263,782 × 263,782
  4. Step 4: Simplify right side
    174,748x = 69,580,943,524
  5. Step 5: Solve for x
    x = 69,580,943,524/174,748
  6. Step 6: Final answer
    x = 398,178.77

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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.