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Finding the Third Proportional to 174,524.63 and 280,009.13

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Solution

The third proportional to 174,524.63 and 280,009.13 is: 449,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,524.63 : 280,009.13 = 280,009.13 : x
  2. Step 2: Convert to fraction form
    174,524.63/280,009.13 = 280,009.13/x
  3. Step 3: Cross multiply
    174,524.63x = 280,009.13 × 280,009.13
  4. Step 4: Simplify right side
    174,524.63x = 78,405,110,083.27
  5. Step 5: Solve for x
    x = 78,405,110,083.27/174,524.63
  6. Step 6: Final answer
    x = 449,249.55

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.