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Finding the Third Proportional to 177,548 and 381,208

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Solution

The third proportional to 177,548 and 381,208 is: 818,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,548 : 381,208 = 381,208 : x
  2. Step 2: Convert to fraction form
    177,548/381,208 = 381,208/x
  3. Step 3: Cross multiply
    177,548x = 381,208 × 381,208
  4. Step 4: Simplify right side
    177,548x = 145,319,539,264
  5. Step 5: Solve for x
    x = 145,319,539,264/177,548
  6. Step 6: Final answer
    x = 818,480.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.