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Finding the Third Proportional to 158,606 and 231,579.50

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Solution

The third proportional to 158,606 and 231,579.50 is: 338,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,606 : 231,579.50 = 231,579.50 : x
  2. Step 2: Convert to fraction form
    158,606/231,579.50 = 231,579.50/x
  3. Step 3: Cross multiply
    158,606x = 231,579.50 × 231,579.50
  4. Step 4: Simplify right side
    158,606x = 53,629,064,820.25
  5. Step 5: Solve for x
    x = 53,629,064,820.25/158,606
  6. Step 6: Final answer
    x = 338,127.59

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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.