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Finding the Third Proportional to 151,156.50 and 329,942.25

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Solution

The third proportional to 151,156.50 and 329,942.25 is: 720,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156.50 : 329,942.25 = 329,942.25 : x
  2. Step 2: Convert to fraction form
    151,156.50/329,942.25 = 329,942.25/x
  3. Step 3: Cross multiply
    151,156.50x = 329,942.25 × 329,942.25
  4. Step 4: Simplify right side
    151,156.50x = 108,861,888,335.06
  5. Step 5: Solve for x
    x = 108,861,888,335.06/151,156.50
  6. Step 6: Final answer
    x = 720,193.23

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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.