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Finding the Third Proportional to 177,002 and 382,178

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Solution

The third proportional to 177,002 and 382,178 is: 825,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,002 : 382,178 = 382,178 : x
  2. Step 2: Convert to fraction form
    177,002/382,178 = 382,178/x
  3. Step 3: Cross multiply
    177,002x = 382,178 × 382,178
  4. Step 4: Simplify right side
    177,002x = 146,060,023,684
  5. Step 5: Solve for x
    x = 146,060,023,684/177,002
  6. Step 6: Final answer
    x = 825,188.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.