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Finding the Third Proportional to 174,188.25 and 263,691

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Solution

The third proportional to 174,188.25 and 263,691 is: 399,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,188.25 : 263,691 = 263,691 : x
  2. Step 2: Convert to fraction form
    174,188.25/263,691 = 263,691/x
  3. Step 3: Cross multiply
    174,188.25x = 263,691 × 263,691
  4. Step 4: Simplify right side
    174,188.25x = 69,532,943,481
  5. Step 5: Solve for x
    x = 69,532,943,481/174,188.25
  6. Step 6: Final answer
    x = 399,182.74

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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.