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Finding the Third Proportional to 168,154 and 351,884

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Solution

The third proportional to 168,154 and 351,884 is: 736,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,154 : 351,884 = 351,884 : x
  2. Step 2: Convert to fraction form
    168,154/351,884 = 351,884/x
  3. Step 3: Cross multiply
    168,154x = 351,884 × 351,884
  4. Step 4: Simplify right side
    168,154x = 123,822,349,456
  5. Step 5: Solve for x
    x = 123,822,349,456/168,154
  6. Step 6: Final answer
    x = 736,362.80

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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.