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Finding the Third Proportional to 168,762 and 356,489

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Solution

The third proportional to 168,762 and 356,489 is: 753,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,762 : 356,489 = 356,489 : x
  2. Step 2: Convert to fraction form
    168,762/356,489 = 356,489/x
  3. Step 3: Cross multiply
    168,762x = 356,489 × 356,489
  4. Step 4: Simplify right side
    168,762x = 127,084,407,121
  5. Step 5: Solve for x
    x = 127,084,407,121/168,762
  6. Step 6: Final answer
    x = 753,039.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.