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Finding the Third Proportional to 158,158.50 and 231,667.50

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Solution

The third proportional to 158,158.50 and 231,667.50 is: 339,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,158.50 : 231,667.50 = 231,667.50 : x
  2. Step 2: Convert to fraction form
    158,158.50/231,667.50 = 231,667.50/x
  3. Step 3: Cross multiply
    158,158.50x = 231,667.50 × 231,667.50
  4. Step 4: Simplify right side
    158,158.50x = 53,669,830,556.25
  5. Step 5: Solve for x
    x = 53,669,830,556.25/158,158.50
  6. Step 6: Final answer
    x = 339,342.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.