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Finding the Third Proportional to 164,234.25 and 354,105

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Solution

The third proportional to 164,234.25 and 354,105 is: 763,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,234.25 : 354,105 = 354,105 : x
  2. Step 2: Convert to fraction form
    164,234.25/354,105 = 354,105/x
  3. Step 3: Cross multiply
    164,234.25x = 354,105 × 354,105
  4. Step 4: Simplify right side
    164,234.25x = 125,390,351,025
  5. Step 5: Solve for x
    x = 125,390,351,025/164,234.25
  6. Step 6: Final answer
    x = 763,484.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.