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Finding the Third Proportional to 151,299.75 and 212,042.25

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Solution

The third proportional to 151,299.75 and 212,042.25 is: 297,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,299.75 : 212,042.25 = 212,042.25 : x
  2. Step 2: Convert to fraction form
    151,299.75/212,042.25 = 212,042.25/x
  3. Step 3: Cross multiply
    151,299.75x = 212,042.25 × 212,042.25
  4. Step 4: Simplify right side
    151,299.75x = 44,961,915,785.06
  5. Step 5: Solve for x
    x = 44,961,915,785.06/151,299.75
  6. Step 6: Final answer
    x = 297,171.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.