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Finding the Third Proportional to 168,152 and 351,880

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Solution

The third proportional to 168,152 and 351,880 is: 736,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,152 : 351,880 = 351,880 : x
  2. Step 2: Convert to fraction form
    168,152/351,880 = 351,880/x
  3. Step 3: Cross multiply
    168,152x = 351,880 × 351,880
  4. Step 4: Simplify right side
    168,152x = 123,819,534,400
  5. Step 5: Solve for x
    x = 123,819,534,400/168,152
  6. Step 6: Final answer
    x = 736,354.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.