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Finding the Third Proportional to 158,739.75 and 339,607.69

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Solution

The third proportional to 158,739.75 and 339,607.69 is: 726,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,739.75 : 339,607.69 = 339,607.69 : x
  2. Step 2: Convert to fraction form
    158,739.75/339,607.69 = 339,607.69/x
  3. Step 3: Cross multiply
    158,739.75x = 339,607.69 × 339,607.69
  4. Step 4: Simplify right side
    158,739.75x = 115,333,381,409.10
  5. Step 5: Solve for x
    x = 115,333,381,409.10/158,739.75
  6. Step 6: Final answer
    x = 726,556.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.