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Finding the Third Proportional to 160,234 and 341,916

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Solution

The third proportional to 160,234 and 341,916 is: 729,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,234 : 341,916 = 341,916 : x
  2. Step 2: Convert to fraction form
    160,234/341,916 = 341,916/x
  3. Step 3: Cross multiply
    160,234x = 341,916 × 341,916
  4. Step 4: Simplify right side
    160,234x = 116,906,551,056
  5. Step 5: Solve for x
    x = 116,906,551,056/160,234
  6. Step 6: Final answer
    x = 729,598.91

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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.