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Finding the Third Proportional to 156,364.50 and 340,957.50

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Solution

The third proportional to 156,364.50 and 340,957.50 is: 743,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,364.50 : 340,957.50 = 340,957.50 : x
  2. Step 2: Convert to fraction form
    156,364.50/340,957.50 = 340,957.50/x
  3. Step 3: Cross multiply
    156,364.50x = 340,957.50 × 340,957.50
  4. Step 4: Simplify right side
    156,364.50x = 116,252,016,806.25
  5. Step 5: Solve for x
    x = 116,252,016,806.25/156,364.50
  6. Step 6: Final answer
    x = 743,468.09

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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.