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Finding the Third Proportional to 176,324.06 and 416,165.91

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Solution

The third proportional to 176,324.06 and 416,165.91 is: 982,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,324.06 : 416,165.91 = 416,165.91 : x
  2. Step 2: Convert to fraction form
    176,324.06/416,165.91 = 416,165.91/x
  3. Step 3: Cross multiply
    176,324.06x = 416,165.91 × 416,165.91
  4. Step 4: Simplify right side
    176,324.06x = 173,194,061,524.88
  5. Step 5: Solve for x
    x = 173,194,061,524.88/176,324.06
  6. Step 6: Final answer
    x = 982,248.59

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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.