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Finding the Third Proportional to 161,125 and 345,586

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Solution

The third proportional to 161,125 and 345,586 is: 741,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,125 : 345,586 = 345,586 : x
  2. Step 2: Convert to fraction form
    161,125/345,586 = 345,586/x
  3. Step 3: Cross multiply
    161,125x = 345,586 × 345,586
  4. Step 4: Simplify right side
    161,125x = 119,429,683,396
  5. Step 5: Solve for x
    x = 119,429,683,396/161,125
  6. Step 6: Final answer
    x = 741,223.79

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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.