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Finding the Third Proportional to 160,224.75 and 350,374.50

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Solution

The third proportional to 160,224.75 and 350,374.50 is: 766,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,224.75 : 350,374.50 = 350,374.50 : x
  2. Step 2: Convert to fraction form
    160,224.75/350,374.50 = 350,374.50/x
  3. Step 3: Cross multiply
    160,224.75x = 350,374.50 × 350,374.50
  4. Step 4: Simplify right side
    160,224.75x = 122,762,290,250.25
  5. Step 5: Solve for x
    x = 122,762,290,250.25/160,224.75
  6. Step 6: Final answer
    x = 766,188.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.