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Finding the Third Proportional to 174,863.81 and 265,713.75

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Solution

The third proportional to 174,863.81 and 265,713.75 is: 403,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,863.81 : 265,713.75 = 265,713.75 : x
  2. Step 2: Convert to fraction form
    174,863.81/265,713.75 = 265,713.75/x
  3. Step 3: Cross multiply
    174,863.81x = 265,713.75 × 265,713.75
  4. Step 4: Simplify right side
    174,863.81x = 70,603,796,939.06
  5. Step 5: Solve for x
    x = 70,603,796,939.06/174,863.81
  6. Step 6: Final answer
    x = 403,764.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.