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Finding the Third Proportional to 158,164 and 345,512

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Solution

The third proportional to 158,164 and 345,512 is: 754,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,164 : 345,512 = 345,512 : x
  2. Step 2: Convert to fraction form
    158,164/345,512 = 345,512/x
  3. Step 3: Cross multiply
    158,164x = 345,512 × 345,512
  4. Step 4: Simplify right side
    158,164x = 119,378,542,144
  5. Step 5: Solve for x
    x = 119,378,542,144/158,164
  6. Step 6: Final answer
    x = 754,776.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.