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Finding the Third Proportional to 160,571.25 and 345,809.25

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Solution

The third proportional to 160,571.25 and 345,809.25 is: 744,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,571.25 : 345,809.25 = 345,809.25 : x
  2. Step 2: Convert to fraction form
    160,571.25/345,809.25 = 345,809.25/x
  3. Step 3: Cross multiply
    160,571.25x = 345,809.25 × 345,809.25
  4. Step 4: Simplify right side
    160,571.25x = 119,584,037,385.56
  5. Step 5: Solve for x
    x = 119,584,037,385.56/160,571.25
  6. Step 6: Final answer
    x = 744,741.27

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Why These Related Problems?

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