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Finding the Third Proportional to 146,586 and 224,619

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Solution

The third proportional to 146,586 and 224,619 is: 344,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,586 : 224,619 = 224,619 : x
  2. Step 2: Convert to fraction form
    146,586/224,619 = 224,619/x
  3. Step 3: Cross multiply
    146,586x = 224,619 × 224,619
  4. Step 4: Simplify right side
    146,586x = 50,453,695,161
  5. Step 5: Solve for x
    x = 50,453,695,161/146,586
  6. Step 6: Final answer
    x = 344,191.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.