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Finding the Third Proportional to 176,324.19 and 416,166.19

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Solution

The third proportional to 176,324.19 and 416,166.19 is: 982,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,324.19 : 416,166.19 = 416,166.19 : x
  2. Step 2: Convert to fraction form
    176,324.19/416,166.19 = 416,166.19/x
  3. Step 3: Cross multiply
    176,324.19x = 416,166.19 × 416,166.19
  4. Step 4: Simplify right side
    176,324.19x = 173,194,295,618.29
  5. Step 5: Solve for x
    x = 173,194,295,618.29/176,324.19
  6. Step 6: Final answer
    x = 982,249.22

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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.