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Finding the Third Proportional to 162,458 and 337,916

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Solution

The third proportional to 162,458 and 337,916 is: 702,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,458 : 337,916 = 337,916 : x
  2. Step 2: Convert to fraction form
    162,458/337,916 = 337,916/x
  3. Step 3: Cross multiply
    162,458x = 337,916 × 337,916
  4. Step 4: Simplify right side
    162,458x = 114,187,223,056
  5. Step 5: Solve for x
    x = 114,187,223,056/162,458
  6. Step 6: Final answer
    x = 702,872.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.