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Finding the Third Proportional to 78,234.75 and 168,429.38

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Solution

The third proportional to 78,234.75 and 168,429.38 is: 362,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.75 : 168,429.38 = 168,429.38 : x
  2. Step 2: Convert to fraction form
    78,234.75/168,429.38 = 168,429.38/x
  3. Step 3: Cross multiply
    78,234.75x = 168,429.38 × 168,429.38
  4. Step 4: Simplify right side
    78,234.75x = 28,368,454,362.89
  5. Step 5: Solve for x
    x = 28,368,454,362.89/78,234.75
  6. Step 6: Final answer
    x = 362,606.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.