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Finding the Third Proportional to 161,440.50 and 225,702.75

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Solution

The third proportional to 161,440.50 and 225,702.75 is: 315,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,440.50 : 225,702.75 = 225,702.75 : x
  2. Step 2: Convert to fraction form
    161,440.50/225,702.75 = 225,702.75/x
  3. Step 3: Cross multiply
    161,440.50x = 225,702.75 × 225,702.75
  4. Step 4: Simplify right side
    161,440.50x = 50,941,731,357.56
  5. Step 5: Solve for x
    x = 50,941,731,357.56/161,440.50
  6. Step 6: Final answer
    x = 315,544.93

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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.