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Finding the Third Proportional to 161,114 and 345,556

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Solution

The third proportional to 161,114 and 345,556 is: 741,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,114 : 345,556 = 345,556 : x
  2. Step 2: Convert to fraction form
    161,114/345,556 = 345,556/x
  3. Step 3: Cross multiply
    161,114x = 345,556 × 345,556
  4. Step 4: Simplify right side
    161,114x = 119,408,949,136
  5. Step 5: Solve for x
    x = 119,408,949,136/161,114
  6. Step 6: Final answer
    x = 741,145.71

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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.