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Finding the Third Proportional to 177,054 and 270,966

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Solution

The third proportional to 177,054 and 270,966 is: 414,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,054 : 270,966 = 270,966 : x
  2. Step 2: Convert to fraction form
    177,054/270,966 = 270,966/x
  3. Step 3: Cross multiply
    177,054x = 270,966 × 270,966
  4. Step 4: Simplify right side
    177,054x = 73,422,573,156
  5. Step 5: Solve for x
    x = 73,422,573,156/177,054
  6. Step 6: Final answer
    x = 414,690.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.