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Finding the Third Proportional to 160,504.50 and 341,745

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Solution

The third proportional to 160,504.50 and 341,745 is: 727,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,504.50 : 341,745 = 341,745 : x
  2. Step 2: Convert to fraction form
    160,504.50/341,745 = 341,745/x
  3. Step 3: Cross multiply
    160,504.50x = 341,745 × 341,745
  4. Step 4: Simplify right side
    160,504.50x = 116,789,645,025
  5. Step 5: Solve for x
    x = 116,789,645,025/160,504.50
  6. Step 6: Final answer
    x = 727,640.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.