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Finding the Third Proportional to 160,204.50 and 341,856

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Solution

The third proportional to 160,204.50 and 341,856 is: 729,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,204.50 : 341,856 = 341,856 : x
  2. Step 2: Convert to fraction form
    160,204.50/341,856 = 341,856/x
  3. Step 3: Cross multiply
    160,204.50x = 341,856 × 341,856
  4. Step 4: Simplify right side
    160,204.50x = 116,865,524,736
  5. Step 5: Solve for x
    x = 116,865,524,736/160,204.50
  6. Step 6: Final answer
    x = 729,477.17

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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.