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Finding the Third Proportional to 174,415.25 and 262,901

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Solution

The third proportional to 174,415.25 and 262,901 is: 396,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,415.25 : 262,901 = 262,901 : x
  2. Step 2: Convert to fraction form
    174,415.25/262,901 = 262,901/x
  3. Step 3: Cross multiply
    174,415.25x = 262,901 × 262,901
  4. Step 4: Simplify right side
    174,415.25x = 69,116,935,801
  5. Step 5: Solve for x
    x = 69,116,935,801/174,415.25
  6. Step 6: Final answer
    x = 396,278.05

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