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Finding the Third Proportional to 177,460 and 384,460

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Solution

The third proportional to 177,460 and 384,460 is: 832,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,460 : 384,460 = 384,460 : x
  2. Step 2: Convert to fraction form
    177,460/384,460 = 384,460/x
  3. Step 3: Cross multiply
    177,460x = 384,460 × 384,460
  4. Step 4: Simplify right side
    177,460x = 147,809,491,600
  5. Step 5: Solve for x
    x = 147,809,491,600/177,460
  6. Step 6: Final answer
    x = 832,917.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.