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Finding the Third Proportional to 176,555.25 and 265,227.75

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Solution

The third proportional to 176,555.25 and 265,227.75 is: 398,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,555.25 : 265,227.75 = 265,227.75 : x
  2. Step 2: Convert to fraction form
    176,555.25/265,227.75 = 265,227.75/x
  3. Step 3: Cross multiply
    176,555.25x = 265,227.75 × 265,227.75
  4. Step 4: Simplify right side
    176,555.25x = 70,345,759,370.06
  5. Step 5: Solve for x
    x = 70,345,759,370.06/176,555.25
  6. Step 6: Final answer
    x = 398,434.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.