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Finding the Third Proportional to 161,570 and 345,134

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Solution

The third proportional to 161,570 and 345,134 is: 737,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,570 : 345,134 = 345,134 : x
  2. Step 2: Convert to fraction form
    161,570/345,134 = 345,134/x
  3. Step 3: Cross multiply
    161,570x = 345,134 × 345,134
  4. Step 4: Simplify right side
    161,570x = 119,117,477,956
  5. Step 5: Solve for x
    x = 119,117,477,956/161,570
  6. Step 6: Final answer
    x = 737,249.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.