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Finding the Third Proportional to 177,573 and 377,178

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Solution

The third proportional to 177,573 and 377,178 is: 801,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,573 : 377,178 = 377,178 : x
  2. Step 2: Convert to fraction form
    177,573/377,178 = 377,178/x
  3. Step 3: Cross multiply
    177,573x = 377,178 × 377,178
  4. Step 4: Simplify right side
    177,573x = 142,263,243,684
  5. Step 5: Solve for x
    x = 142,263,243,684/177,573
  6. Step 6: Final answer
    x = 801,153.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.