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Finding the Third Proportional to 174,042 and 271,323

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Solution

The third proportional to 174,042 and 271,323 is: 422,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,042 : 271,323 = 271,323 : x
  2. Step 2: Convert to fraction form
    174,042/271,323 = 271,323/x
  3. Step 3: Cross multiply
    174,042x = 271,323 × 271,323
  4. Step 4: Simplify right side
    174,042x = 73,616,170,329
  5. Step 5: Solve for x
    x = 73,616,170,329/174,042
  6. Step 6: Final answer
    x = 422,979.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.