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Finding the Third Proportional to 162,070 and 337,134

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Solution

The third proportional to 162,070 and 337,134 is: 701,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,070 : 337,134 = 337,134 : x
  2. Step 2: Convert to fraction form
    162,070/337,134 = 337,134/x
  3. Step 3: Cross multiply
    162,070x = 337,134 × 337,134
  4. Step 4: Simplify right side
    162,070x = 113,659,333,956
  5. Step 5: Solve for x
    x = 113,659,333,956/162,070
  6. Step 6: Final answer
    x = 701,297.80

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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.