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Finding the Third Proportional to 158,761 and 343,399.50

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Solution

The third proportional to 158,761 and 343,399.50 is: 742,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,761 : 343,399.50 = 343,399.50 : x
  2. Step 2: Convert to fraction form
    158,761/343,399.50 = 343,399.50/x
  3. Step 3: Cross multiply
    158,761x = 343,399.50 × 343,399.50
  4. Step 4: Simplify right side
    158,761x = 117,923,216,600.25
  5. Step 5: Solve for x
    x = 117,923,216,600.25/158,761
  6. Step 6: Final answer
    x = 742,771.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.