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Finding the Third Proportional to 158,939.25 and 238,408.50

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Solution

The third proportional to 158,939.25 and 238,408.50 is: 357,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,939.25 : 238,408.50 = 238,408.50 : x
  2. Step 2: Convert to fraction form
    158,939.25/238,408.50 = 238,408.50/x
  3. Step 3: Cross multiply
    158,939.25x = 238,408.50 × 238,408.50
  4. Step 4: Simplify right side
    158,939.25x = 56,838,612,872.25
  5. Step 5: Solve for x
    x = 56,838,612,872.25/158,939.25
  6. Step 6: Final answer
    x = 357,612.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.