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Finding the Third Proportional to 160,906.50 and 343,179

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Solution

The third proportional to 160,906.50 and 343,179 is: 731,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,906.50 : 343,179 = 343,179 : x
  2. Step 2: Convert to fraction form
    160,906.50/343,179 = 343,179/x
  3. Step 3: Cross multiply
    160,906.50x = 343,179 × 343,179
  4. Step 4: Simplify right side
    160,906.50x = 117,771,826,041
  5. Step 5: Solve for x
    x = 117,771,826,041/160,906.50
  6. Step 6: Final answer
    x = 731,927.09

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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.