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Finding the Third Proportional to 158,064 and 345,635

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Solution

The third proportional to 158,064 and 345,635 is: 755,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,064 : 345,635 = 345,635 : x
  2. Step 2: Convert to fraction form
    158,064/345,635 = 345,635/x
  3. Step 3: Cross multiply
    158,064x = 345,635 × 345,635
  4. Step 4: Simplify right side
    158,064x = 119,463,553,225
  5. Step 5: Solve for x
    x = 119,463,553,225/158,064
  6. Step 6: Final answer
    x = 755,792.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.