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Finding the Third Proportional to 161,136 and 345,588

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Solution

The third proportional to 161,136 and 345,588 is: 741,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,136 : 345,588 = 345,588 : x
  2. Step 2: Convert to fraction form
    161,136/345,588 = 345,588/x
  3. Step 3: Cross multiply
    161,136x = 345,588 × 345,588
  4. Step 4: Simplify right side
    161,136x = 119,431,065,744
  5. Step 5: Solve for x
    x = 119,431,065,744/161,136
  6. Step 6: Final answer
    x = 741,181.77

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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.