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Finding the Third Proportional to 160,571.25 and 349,746.75

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Solution

The third proportional to 160,571.25 and 349,746.75 is: 761,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,571.25 : 349,746.75 = 349,746.75 : x
  2. Step 2: Convert to fraction form
    160,571.25/349,746.75 = 349,746.75/x
  3. Step 3: Cross multiply
    160,571.25x = 349,746.75 × 349,746.75
  4. Step 4: Simplify right side
    160,571.25x = 122,322,789,135.56
  5. Step 5: Solve for x
    x = 122,322,789,135.56/160,571.25
  6. Step 6: Final answer
    x = 761,797.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.