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Finding the Third Proportional to 174,972 and 271,450

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Solution

The third proportional to 174,972 and 271,450 is: 421,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,972 : 271,450 = 271,450 : x
  2. Step 2: Convert to fraction form
    174,972/271,450 = 271,450/x
  3. Step 3: Cross multiply
    174,972x = 271,450 × 271,450
  4. Step 4: Simplify right side
    174,972x = 73,685,102,500
  5. Step 5: Solve for x
    x = 73,685,102,500/174,972
  6. Step 6: Final answer
    x = 421,125.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.