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Finding the Third Proportional to 161,126 and 345,588

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Solution

The third proportional to 161,126 and 345,588 is: 741,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,126 : 345,588 = 345,588 : x
  2. Step 2: Convert to fraction form
    161,126/345,588 = 345,588/x
  3. Step 3: Cross multiply
    161,126x = 345,588 × 345,588
  4. Step 4: Simplify right side
    161,126x = 119,431,065,744
  5. Step 5: Solve for x
    x = 119,431,065,744/161,126
  6. Step 6: Final answer
    x = 741,227.77

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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.