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Finding the Third Proportional to 67,728 and 155,765.50

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Solution

The third proportional to 67,728 and 155,765.50 is: 358,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,728 : 155,765.50 = 155,765.50 : x
  2. Step 2: Convert to fraction form
    67,728/155,765.50 = 155,765.50/x
  3. Step 3: Cross multiply
    67,728x = 155,765.50 × 155,765.50
  4. Step 4: Simplify right side
    67,728x = 24,262,890,990.25
  5. Step 5: Solve for x
    x = 24,262,890,990.25/67,728
  6. Step 6: Final answer
    x = 358,240.18

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.