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Finding the Third Proportional to 161,106.75 and 347,109.75

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Solution

The third proportional to 161,106.75 and 347,109.75 is: 747,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,106.75 : 347,109.75 = 347,109.75 : x
  2. Step 2: Convert to fraction form
    161,106.75/347,109.75 = 347,109.75/x
  3. Step 3: Cross multiply
    161,106.75x = 347,109.75 × 347,109.75
  4. Step 4: Simplify right side
    161,106.75x = 120,485,178,545.06
  5. Step 5: Solve for x
    x = 120,485,178,545.06/161,106.75
  6. Step 6: Final answer
    x = 747,859.28

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