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Finding the Third Proportional to 174,969 and 271,444

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Solution

The third proportional to 174,969 and 271,444 is: 421,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969 : 271,444 = 271,444 : x
  2. Step 2: Convert to fraction form
    174,969/271,444 = 271,444/x
  3. Step 3: Cross multiply
    174,969x = 271,444 × 271,444
  4. Step 4: Simplify right side
    174,969x = 73,681,845,136
  5. Step 5: Solve for x
    x = 73,681,845,136/174,969
  6. Step 6: Final answer
    x = 421,113.71

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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.