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Finding the Third Proportional to 161,608.50 and 354,078

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Solution

The third proportional to 161,608.50 and 354,078 is: 775,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,608.50 : 354,078 = 354,078 : x
  2. Step 2: Convert to fraction form
    161,608.50/354,078 = 354,078/x
  3. Step 3: Cross multiply
    161,608.50x = 354,078 × 354,078
  4. Step 4: Simplify right side
    161,608.50x = 125,371,230,084
  5. Step 5: Solve for x
    x = 125,371,230,084/161,608.50
  6. Step 6: Final answer
    x = 775,771.26

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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.