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Finding the Third Proportional to 162,063 and 337,122

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Solution

The third proportional to 162,063 and 337,122 is: 701,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,063 : 337,122 = 337,122 : x
  2. Step 2: Convert to fraction form
    162,063/337,122 = 337,122/x
  3. Step 3: Cross multiply
    162,063x = 337,122 × 337,122
  4. Step 4: Simplify right side
    162,063x = 113,651,242,884
  5. Step 5: Solve for x
    x = 113,651,242,884/162,063
  6. Step 6: Final answer
    x = 701,278.16

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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.