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Finding the Third Proportional to 68,853.50 and 150,342.50

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Solution

The third proportional to 68,853.50 and 150,342.50 is: 328,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,853.50 : 150,342.50 = 150,342.50 : x
  2. Step 2: Convert to fraction form
    68,853.50/150,342.50 = 150,342.50/x
  3. Step 3: Cross multiply
    68,853.50x = 150,342.50 × 150,342.50
  4. Step 4: Simplify right side
    68,853.50x = 22,602,867,306.25
  5. Step 5: Solve for x
    x = 22,602,867,306.25/68,853.50
  6. Step 6: Final answer
    x = 328,274.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.