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Finding the Third Proportional to 160,089.75 and 349,157.25

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Solution

The third proportional to 160,089.75 and 349,157.25 is: 761,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,089.75 : 349,157.25 = 349,157.25 : x
  2. Step 2: Convert to fraction form
    160,089.75/349,157.25 = 349,157.25/x
  3. Step 3: Cross multiply
    160,089.75x = 349,157.25 × 349,157.25
  4. Step 4: Simplify right side
    160,089.75x = 121,910,785,227.56
  5. Step 5: Solve for x
    x = 121,910,785,227.56/160,089.75
  6. Step 6: Final answer
    x = 761,515.25

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