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Finding the Third Proportional to 171,632 and 378,168

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Solution

The third proportional to 171,632 and 378,168 is: 833,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,632 : 378,168 = 378,168 : x
  2. Step 2: Convert to fraction form
    171,632/378,168 = 378,168/x
  3. Step 3: Cross multiply
    171,632x = 378,168 × 378,168
  4. Step 4: Simplify right side
    171,632x = 143,011,036,224
  5. Step 5: Solve for x
    x = 143,011,036,224/171,632
  6. Step 6: Final answer
    x = 833,242.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.