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Finding the Third Proportional to 127,945.50 and 297,435.75

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Solution

The third proportional to 127,945.50 and 297,435.75 is: 691,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,945.50 : 297,435.75 = 297,435.75 : x
  2. Step 2: Convert to fraction form
    127,945.50/297,435.75 = 297,435.75/x
  3. Step 3: Cross multiply
    127,945.50x = 297,435.75 × 297,435.75
  4. Step 4: Simplify right side
    127,945.50x = 88,468,025,378.06
  5. Step 5: Solve for x
    x = 88,468,025,378.06/127,945.50
  6. Step 6: Final answer
    x = 691,450.86

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.