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Finding the Third Proportional to 162,458 and 337,918

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Solution

The third proportional to 162,458 and 337,918 is: 702,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,458 : 337,918 = 337,918 : x
  2. Step 2: Convert to fraction form
    162,458/337,918 = 337,918/x
  3. Step 3: Cross multiply
    162,458x = 337,918 × 337,918
  4. Step 4: Simplify right side
    162,458x = 114,188,574,724
  5. Step 5: Solve for x
    x = 114,188,574,724/162,458
  6. Step 6: Final answer
    x = 702,880.59

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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.