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Finding the Third Proportional to 117,596.25 and 176,658.75

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Solution

The third proportional to 117,596.25 and 176,658.75 is: 265,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,596.25 : 176,658.75 = 176,658.75 : x
  2. Step 2: Convert to fraction form
    117,596.25/176,658.75 = 176,658.75/x
  3. Step 3: Cross multiply
    117,596.25x = 176,658.75 × 176,658.75
  4. Step 4: Simplify right side
    117,596.25x = 31,208,313,951.56
  5. Step 5: Solve for x
    x = 31,208,313,951.56/117,596.25
  6. Step 6: Final answer
    x = 265,385.28

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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.