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Finding the Third Proportional to 160,673 and 339,406

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Solution

The third proportional to 160,673 and 339,406 is: 716,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,673 : 339,406 = 339,406 : x
  2. Step 2: Convert to fraction form
    160,673/339,406 = 339,406/x
  3. Step 3: Cross multiply
    160,673x = 339,406 × 339,406
  4. Step 4: Simplify right side
    160,673x = 115,196,432,836
  5. Step 5: Solve for x
    x = 115,196,432,836/160,673
  6. Step 6: Final answer
    x = 716,961.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.