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Finding the Third Proportional to 161,486 and 337,756

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Solution

The third proportional to 161,486 and 337,756 is: 706,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,486 : 337,756 = 337,756 : x
  2. Step 2: Convert to fraction form
    161,486/337,756 = 337,756/x
  3. Step 3: Cross multiply
    161,486x = 337,756 × 337,756
  4. Step 4: Simplify right side
    161,486x = 114,079,115,536
  5. Step 5: Solve for x
    x = 114,079,115,536/161,486
  6. Step 6: Final answer
    x = 706,433.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.