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Finding the Third Proportional to 158,014 and 345,589

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Solution

The third proportional to 158,014 and 345,589 is: 755,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,014 : 345,589 = 345,589 : x
  2. Step 2: Convert to fraction form
    158,014/345,589 = 345,589/x
  3. Step 3: Cross multiply
    158,014x = 345,589 × 345,589
  4. Step 4: Simplify right side
    158,014x = 119,431,756,921
  5. Step 5: Solve for x
    x = 119,431,756,921/158,014
  6. Step 6: Final answer
    x = 755,830.22

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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.