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Finding the Third Proportional to 171,976.50 and 351,607.50

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Solution

The third proportional to 171,976.50 and 351,607.50 is: 718,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,976.50 : 351,607.50 = 351,607.50 : x
  2. Step 2: Convert to fraction form
    171,976.50/351,607.50 = 351,607.50/x
  3. Step 3: Cross multiply
    171,976.50x = 351,607.50 × 351,607.50
  4. Step 4: Simplify right side
    171,976.50x = 123,627,834,056.25
  5. Step 5: Solve for x
    x = 123,627,834,056.25/171,976.50
  6. Step 6: Final answer
    x = 718,864.69

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.