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Finding the Third Proportional to 176,272.88 and 416,037.94

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Solution

The third proportional to 176,272.88 and 416,037.94 is: 981,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,272.88 : 416,037.94 = 416,037.94 : x
  2. Step 2: Convert to fraction form
    176,272.88/416,037.94 = 416,037.94/x
  3. Step 3: Cross multiply
    176,272.88x = 416,037.94 × 416,037.94
  4. Step 4: Simplify right side
    176,272.88x = 173,087,565,439.25
  5. Step 5: Solve for x
    x = 173,087,565,439.25/176,272.88
  6. Step 6: Final answer
    x = 981,929.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.